Quant Skills & Reasoning Final
Exam Review Questions and
Complete Solutions Graded A+
what are the 3 basic ways to represent a function? - Answer: - a table
- a graph
- an equation
between the x-axis and the y-axis, which is the independent variable and which is the
dependent variable? - Answer: - x-axis: independent variable
- y-axis: dependent variable
the rate of change is equal to? - Answer: the slope of the graph
the greater the the rate of change...? - Answer: ...the greater the slope
what does it mean to say that a function is linear? - Answer: the function has a straight-line
graph, the function can be described by an equation of the form y=mx+b, and the function has a
constant rate of change
how is the rate of change of a linear function related to the slope of its graph? - Answer: the
smaller the rate of change, the shallower the graph & the greater the rate of change, the
steeper the graph.
how can we calculate the rate of change? - Answer: by finding the slope between any two
points on the graph
rate of change = slope = change in y/change in x
, in y=mx+b, what letter represents the slope and the y-intercept? - Answer: m= slope
b= y-intercept
when does linear growth occur? - Answer: when a quantity grows by the same absolute amount
in each unit of time
when does exponential growth occur? - Answer: when a quantity grows by the same relative
amount, that is, by percentage, in each unit of time
what does the exponential formula Q = Qo x (1 + r)^t stand for? - Answer: Q = is the value of the
quantity at time "t"
Qo = is the initial value of the quantity (when t=0)
r = is the rate of growth as a decimal (it will be negative if it is decay)
what can exponential growth lead to? - Answer: repeated doublings which makes things
increase rapidly
how many columns does a frequency table have? - Answer: a frequency table has two columns.
the first column lists categories and the second column lists the frequency of each category
what is relative frequency? - Answer: - the fraction (or percent) of the data values that falls in
that category
- formula: frequency in category/total frequency
what is cumulative frequency? - Answer: the number of data values in that category and all
preceding categories
Exam Review Questions and
Complete Solutions Graded A+
what are the 3 basic ways to represent a function? - Answer: - a table
- a graph
- an equation
between the x-axis and the y-axis, which is the independent variable and which is the
dependent variable? - Answer: - x-axis: independent variable
- y-axis: dependent variable
the rate of change is equal to? - Answer: the slope of the graph
the greater the the rate of change...? - Answer: ...the greater the slope
what does it mean to say that a function is linear? - Answer: the function has a straight-line
graph, the function can be described by an equation of the form y=mx+b, and the function has a
constant rate of change
how is the rate of change of a linear function related to the slope of its graph? - Answer: the
smaller the rate of change, the shallower the graph & the greater the rate of change, the
steeper the graph.
how can we calculate the rate of change? - Answer: by finding the slope between any two
points on the graph
rate of change = slope = change in y/change in x
, in y=mx+b, what letter represents the slope and the y-intercept? - Answer: m= slope
b= y-intercept
when does linear growth occur? - Answer: when a quantity grows by the same absolute amount
in each unit of time
when does exponential growth occur? - Answer: when a quantity grows by the same relative
amount, that is, by percentage, in each unit of time
what does the exponential formula Q = Qo x (1 + r)^t stand for? - Answer: Q = is the value of the
quantity at time "t"
Qo = is the initial value of the quantity (when t=0)
r = is the rate of growth as a decimal (it will be negative if it is decay)
what can exponential growth lead to? - Answer: repeated doublings which makes things
increase rapidly
how many columns does a frequency table have? - Answer: a frequency table has two columns.
the first column lists categories and the second column lists the frequency of each category
what is relative frequency? - Answer: - the fraction (or percent) of the data values that falls in
that category
- formula: frequency in category/total frequency
what is cumulative frequency? - Answer: the number of data values in that category and all
preceding categories
