WGU C957 APPLIED ALGEBRA OA EXAM |
QUESTIONS AND VERIFIED ANSWERS GRADED A+ |
UPDATED 2026
The number of customers, N, in a store t hours after midnight is given by the
function:
N(t)= -t^2 + 28t - 171
How many customers will be in the store at 4pm? -------- CORRECT ANSWER
- N(t)= -t^2 + 28t - 171
-(16^2) + (28 x 16) - 171
*Note: work the exponent, but the number needs to be negative for the equation
to work. The negative does not square.
Function Notation-------- CORRECT ANSWER -F(x)
F: Output (x): Input
F(a)= b
F and b: Output
C(state)= Capital
Example: C(Utah)= Salt Lake City
(input, Output)
,Page 1 of 23
Example: (Utah, Salt Lake City)
On a graph, the input will be the horizontal X axis On a graph, the output will
be the vertical Y axis
Rate of Change -------- CORRECT ANSWER -y2-y1
x2-x1
Independent vs. Dependent-------- CORRECT ANSWER -The cause is the
independent variable (the time on a bike = independent)
The Dependent variable is the effect (Calories burnt depends on how much time
spent on the bike = dependent)
C(m) C(50)=450
C= calories burnt-output (50)= time on the bike-input
450= total calories burnt-output
What is a variable? ------- CORRECT ANSWER -In math, things that change
are called variables, and they are often used in equations. And to be clear, when
something is called a variable, it means that it either changes frequently or
changes from person to person. Variables are usually represented by a letter, like
t for time, n for number, c for color, or r for revenue. Letters just make variables
easier to work with.
, Page 2 of 23
Which choice is a variable?
-The amount a teenager makes babysitting
-The cost of your daily newspaper
-The number of states in the United States of America
-Your shoe size -------- CORRECT ANSWER --The amount a teenager makes
babysitting
Correct! A teenager probably charges the same amount per hour but makes more
if the job lasts longer, like all day.
Which choice is a variable?
-The operating system on your phone
-The colors and styles of your shoes
-The amount a babysitter charges per hour
-The name of the largest mountain range in the United States - ---- -
CORRECT ANSWER --The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly vary.
What are qualitative variables? -------- CORRECT ANSWER -These are things
with qualities that vary. Responses to qualitative variables are words or qualities
that describe an item. In this example, the sizes and the colors of the shirts
would be qualitative variables, and they would be worth knowing if, for
instance, Halloween were approaching and suddenly sales of orange and black
QUESTIONS AND VERIFIED ANSWERS GRADED A+ |
UPDATED 2026
The number of customers, N, in a store t hours after midnight is given by the
function:
N(t)= -t^2 + 28t - 171
How many customers will be in the store at 4pm? -------- CORRECT ANSWER
- N(t)= -t^2 + 28t - 171
-(16^2) + (28 x 16) - 171
*Note: work the exponent, but the number needs to be negative for the equation
to work. The negative does not square.
Function Notation-------- CORRECT ANSWER -F(x)
F: Output (x): Input
F(a)= b
F and b: Output
C(state)= Capital
Example: C(Utah)= Salt Lake City
(input, Output)
,Page 1 of 23
Example: (Utah, Salt Lake City)
On a graph, the input will be the horizontal X axis On a graph, the output will
be the vertical Y axis
Rate of Change -------- CORRECT ANSWER -y2-y1
x2-x1
Independent vs. Dependent-------- CORRECT ANSWER -The cause is the
independent variable (the time on a bike = independent)
The Dependent variable is the effect (Calories burnt depends on how much time
spent on the bike = dependent)
C(m) C(50)=450
C= calories burnt-output (50)= time on the bike-input
450= total calories burnt-output
What is a variable? ------- CORRECT ANSWER -In math, things that change
are called variables, and they are often used in equations. And to be clear, when
something is called a variable, it means that it either changes frequently or
changes from person to person. Variables are usually represented by a letter, like
t for time, n for number, c for color, or r for revenue. Letters just make variables
easier to work with.
, Page 2 of 23
Which choice is a variable?
-The amount a teenager makes babysitting
-The cost of your daily newspaper
-The number of states in the United States of America
-Your shoe size -------- CORRECT ANSWER --The amount a teenager makes
babysitting
Correct! A teenager probably charges the same amount per hour but makes more
if the job lasts longer, like all day.
Which choice is a variable?
-The operating system on your phone
-The colors and styles of your shoes
-The amount a babysitter charges per hour
-The name of the largest mountain range in the United States - ---- -
CORRECT ANSWER --The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly vary.
What are qualitative variables? -------- CORRECT ANSWER -These are things
with qualities that vary. Responses to qualitative variables are words or qualities
that describe an item. In this example, the sizes and the colors of the shirts
would be qualitative variables, and they would be worth knowing if, for
instance, Halloween were approaching and suddenly sales of orange and black
