Updated Study Guide
1 2 3 4 7 8 10
The graph below represents the number of books Jaleel has read over the past x
weeks. Which equation represents the graph? - ANS - y = 3x
\3 4 5 6 8 9 10
Which statement best describes the growth rates of the functions below? - ANS -
The exponential function grows faster than the quadratic function over two
intervals; 2<x<4.
\A ball is thrown straight up into the air. The height, in feet, h(t), of the ball
collected over t seconds is shown in the table.
Which statement is true? - ANS - The maximum height of the ball was 2.5 seconds
after it was thrown.
\A catering company uses different functions to estimate the itemized costs for a
party. The table below represents the included tip for wait staff as a function of
the number of guests served.
If the tip varies directly with the number of guests, which equation represents the
relationship between the tip, t, and the number of guests, g? - ANS - t = 1.8g
\A data set contains an independent and dependent variable. Which must be true
of the data set if a linear function can be used to represent the data? - ANS - The
set must have a constant additive rate of change.
\A direct variation function contains the points (-9, -3) and (-12, -4). Which
equation represents the function? - ANS - y=x/3
\A direct variation function contains the points (2, 14) and (4, 28). Which equation
represents the function? - ANS - y = 7x
\A karate studio charges $35 for the first course and $22.50 for each course after
that, even if the student leaves the course early. Cena paid $170 for her son to
take courses. How many courses did he take? - ANS - 7 courses
\A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25
feet per second. Which graph could represent the leaf's height in feet as a
function of time, in seconds, after leaving the branch? - ANS - graph with point
8,12
,\A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line
represents a direct variation? - ANS - The line does not represent a direct
variation because it does not go through the origin.
\A line of best fit for the data is represented by h = -21.962x + 114.655. Which
statement compares the line of best fit with the actual data given by the table? -
ANS - According to the line of best fit, the object would have hit the ground 0.6
seconds later than the actual time the object hit the ground
\A line of best fit is drawn for the set of points shown on the graph.
Which point is an approximate extrapolation for x = 30 from the line of best fit? -
ANS - (30, 38)
\A line that passes through the points (-4, 10) and (-1, 5) can be represented by
the equation y = (x - 2). Which equations also represent this line? Check all that
apply. - ANS - y = -5/3x+10/3
3y = -5x + 10
5x + 3y = 10
\A pattern of rectangles is formed by decreasing the length and increasing the
width, each by the same amount. The relationship between x, the amount of
increase, and A, the area of the rectangle represented by the increase, is
quadratic.
Which graph could represent the area of each rectangle in terms of the change in
the length and width? - ANS - Points located on
0.40 1,45 2,47 8,25
\A quadratic function and an exponential function are graphed below. How do the
decay rates of the functions compare over the interval mc016-1.jpg? - ANS - The
exponential function decays at three-fourths the rate of the quadratic function.
\A store offers packing and mailing services to customers. This table is given to
customers to help them estimate the cost of shipping a box based on its weight
in pounds, and a flat rate of $5 for packing.
Which equation represents the shipping cost as a function of x, the weight in
pounds? - ANS - f(x) = 2.25x + 5
\Aaron tracks the time it takes him to mow lawns by writing coordinate points
relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in
acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the
slope of the line through these two points? - ANS - Aaron's rate for mowing lawns
is 0.5 acres per hour.
, \According to the line of best fit, about how many ounces of frozen yogurt can
someone purchase for $5? - ANS - 13
\According to the table, which ordered pair is a local minimum of the function,
f(x)? - ANS - (0, 9)
\Adita has two options for how to invest $1,000.
Plan A: Put the $1,000 in an account that pays $100 per year.
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.
Which statement is true? - ANS - Plan A will be worth more than plan B after two
years.
\Alejandra correctly wrote the equation y - 3 =1/5 (x - 10) to represent a line that
her teacher sketched. The teacher then changed the line so it had a slope of 2,
but still went through the same point. Which equation should Alejandra write to
represent the new line? - ANS - y - 3 = 2(x - 10)
\Alicia bought a notebook and several erasers at the student store. The graph
shows the relationship between the total cost of her items and the number of
erasers she purchased.
What is the cost of each eraser? - ANS - $1.50
\Amanda is studying relationships between the values and ages of different items.
She decides to ask teachers at her school to estimate the values and ages of their
cars. She will exclude any antique cars and knows that the value of a car
depreciates over time. Which correlation is expected between the age and value
of a car? - ANS - negative
\Analyze the graph of the function f(x) to complete the statement. - ANS - F(x) < 0
over the intervals (-∞, -3) and (-1.1,0.9)
\Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home
pay, p, for h hours worked at a rate of r dollars per hour and any bonus received,
b. What is an equivalent equation solved for h? - ANS - h = (p/0.7- b)÷ r
\Anderson is a plumber and is paid a fixed amount just to make a house visit. The
remainder of his fee, y, is determined by the number of hours that he works, x, as
shown below.
Which equation represents the graph? - ANS - y = 10x + 50
1 2 3 4 7 8 10
The graph below represents the number of books Jaleel has read over the past x
weeks. Which equation represents the graph? - ANS - y = 3x
\3 4 5 6 8 9 10
Which statement best describes the growth rates of the functions below? - ANS -
The exponential function grows faster than the quadratic function over two
intervals; 2<x<4.
\A ball is thrown straight up into the air. The height, in feet, h(t), of the ball
collected over t seconds is shown in the table.
Which statement is true? - ANS - The maximum height of the ball was 2.5 seconds
after it was thrown.
\A catering company uses different functions to estimate the itemized costs for a
party. The table below represents the included tip for wait staff as a function of
the number of guests served.
If the tip varies directly with the number of guests, which equation represents the
relationship between the tip, t, and the number of guests, g? - ANS - t = 1.8g
\A data set contains an independent and dependent variable. Which must be true
of the data set if a linear function can be used to represent the data? - ANS - The
set must have a constant additive rate of change.
\A direct variation function contains the points (-9, -3) and (-12, -4). Which
equation represents the function? - ANS - y=x/3
\A direct variation function contains the points (2, 14) and (4, 28). Which equation
represents the function? - ANS - y = 7x
\A karate studio charges $35 for the first course and $22.50 for each course after
that, even if the student leaves the course early. Cena paid $170 for her son to
take courses. How many courses did he take? - ANS - 7 courses
\A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25
feet per second. Which graph could represent the leaf's height in feet as a
function of time, in seconds, after leaving the branch? - ANS - graph with point
8,12
,\A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line
represents a direct variation? - ANS - The line does not represent a direct
variation because it does not go through the origin.
\A line of best fit for the data is represented by h = -21.962x + 114.655. Which
statement compares the line of best fit with the actual data given by the table? -
ANS - According to the line of best fit, the object would have hit the ground 0.6
seconds later than the actual time the object hit the ground
\A line of best fit is drawn for the set of points shown on the graph.
Which point is an approximate extrapolation for x = 30 from the line of best fit? -
ANS - (30, 38)
\A line that passes through the points (-4, 10) and (-1, 5) can be represented by
the equation y = (x - 2). Which equations also represent this line? Check all that
apply. - ANS - y = -5/3x+10/3
3y = -5x + 10
5x + 3y = 10
\A pattern of rectangles is formed by decreasing the length and increasing the
width, each by the same amount. The relationship between x, the amount of
increase, and A, the area of the rectangle represented by the increase, is
quadratic.
Which graph could represent the area of each rectangle in terms of the change in
the length and width? - ANS - Points located on
0.40 1,45 2,47 8,25
\A quadratic function and an exponential function are graphed below. How do the
decay rates of the functions compare over the interval mc016-1.jpg? - ANS - The
exponential function decays at three-fourths the rate of the quadratic function.
\A store offers packing and mailing services to customers. This table is given to
customers to help them estimate the cost of shipping a box based on its weight
in pounds, and a flat rate of $5 for packing.
Which equation represents the shipping cost as a function of x, the weight in
pounds? - ANS - f(x) = 2.25x + 5
\Aaron tracks the time it takes him to mow lawns by writing coordinate points
relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in
acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the
slope of the line through these two points? - ANS - Aaron's rate for mowing lawns
is 0.5 acres per hour.
, \According to the line of best fit, about how many ounces of frozen yogurt can
someone purchase for $5? - ANS - 13
\According to the table, which ordered pair is a local minimum of the function,
f(x)? - ANS - (0, 9)
\Adita has two options for how to invest $1,000.
Plan A: Put the $1,000 in an account that pays $100 per year.
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.
Which statement is true? - ANS - Plan A will be worth more than plan B after two
years.
\Alejandra correctly wrote the equation y - 3 =1/5 (x - 10) to represent a line that
her teacher sketched. The teacher then changed the line so it had a slope of 2,
but still went through the same point. Which equation should Alejandra write to
represent the new line? - ANS - y - 3 = 2(x - 10)
\Alicia bought a notebook and several erasers at the student store. The graph
shows the relationship between the total cost of her items and the number of
erasers she purchased.
What is the cost of each eraser? - ANS - $1.50
\Amanda is studying relationships between the values and ages of different items.
She decides to ask teachers at her school to estimate the values and ages of their
cars. She will exclude any antique cars and knows that the value of a car
depreciates over time. Which correlation is expected between the age and value
of a car? - ANS - negative
\Analyze the graph of the function f(x) to complete the statement. - ANS - F(x) < 0
over the intervals (-∞, -3) and (-1.1,0.9)
\Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home
pay, p, for h hours worked at a rate of r dollars per hour and any bonus received,
b. What is an equivalent equation solved for h? - ANS - h = (p/0.7- b)÷ r
\Anderson is a plumber and is paid a fixed amount just to make a house visit. The
remainder of his fee, y, is determined by the number of hours that he works, x, as
shown below.
Which equation represents the graph? - ANS - y = 10x + 50
