Applied Algebra C957 WGU - Learning Checks with 100% correct answers already graded A+

Which choice is a variable?

A.The number of states in the United States of America

B.The cost of your daily newspaper

C.The amount a teenager makes babysitting

D.Your shoe size

C

Which choice is a variable?

A.The operating system on your phone

B.The amount a babysitter charges per hour

C.The name of the largest mountain range in the United States

D.The colors and styles of your shoes

D

Which choice is a quantitative variable?

A. S, representing the number of regular weekly shipping deliveries your company's trucks make

B. P, representing the monthly profit based on the number of customers who needed plumbing services

C. R, representing the monthly rent for your company's office building

D. M, representing the federal minimum wage

B

In a lawn-mowing business, the amount of time an employee spends mowing a lawn depends on the size of the lawn. It might also depend on some other factors.

Which choice represents a qualitative variable in this lawn-mowing business?

A. G, representing the amount of gas needed to mow a given lawn

B. W, representing the number of hours the employee spends working each day

C. H, representing the hilliness of the lawn

D. M, representing the maximum amount of lawn that a given mower can complete per hour

C

Which variable is related to the variable temperature?

A. Pen sales

B. Computer sales

C. Hot chocolate sales

D. Book sales

C

The number of years someone regularly deposits money in a savings account is related to the amount of money in the account. T/F

T

The amount of food prepared for a catered event depends on the number of people attending.

Which variable is the independent variable?

A. The amount of food prepared

B. The number of people attending

B

You own a car wash that charges $10 for each car that goes through. If you wash 50 cars a day, your revenue is $10×50=$500. If you only wash 20 cars a day, your revenue is $10×20=$200.

Which variable is the independent variable?

A. Your company's revenue

B. The number of cars washed

B

The amount of money you spend on apps depends on the number of apps you buy.

Which variable is the dependent variable?

A. The amount of money spent

B. The number of apps you buy

A

When you first started at your job, you earned two weeks of vacation time a year. After five years of employment, you earn three weeks of vacation. After ten years of employment, you earn four weeks of vacation.

What is the dependent variable—the number of weeks of vacation or the number of years employed?

A. The number of weeks of vacation

B. The number of years employed

A

Which event allows you to predict the output based on an input?

A. The sex of a baby based on what the mother eats during pregnancy

B. The color gumball you get from a gumball machine based on which quarter you put into the machine

C. Whether or not someone will opt into a retirement savings program based on eye color

D. What comes out of a vending machine based on your selection

D

A cow eats grass, which is turned into milk by its body, and a farmer then milks the cow.

What is the input?

A. The cow

B. The milk

C. The grass

D. The farmer

C

Which of these represents a function?

A. Input: A student's age; Output: The number of siblings a student has

B. Input: The cost of an item; Output: The sales tax owed on the item

C. Input: A teacher's gender; Output: Subject he or she teaches

D. Input: The amount of coffee consumed; Output: Level of intelligence

B

A company uses the function B to predict the cost of benefits given the number of employees, n.

What might the inverse function be useful for?

A. The inverse function could be used to figure out how many employees the company could employ if the budget for benefits was limited.

B. The inverse function could be used to predict the cost of benefits for new hires.

A

A function doubles each input. What does the inverse function do?

A. Doubles each input

B. Adds 2 to each input

C. Subtracts 2 from each input

D. Halves each input

D

Sales tax in your state is 7%.

Which function models the amount of sales tax, T, when you spend x dollars?

A. T(x)=7+x

B. T(x)=0.07+x

C. T(x)=7x

D. T(x)=0.07(x)

D

Your daughter babysits and charges $8 per hour.

Select the function that models the amount of money she earns when babysitting for h hours.

A. B(h)=8h

B. B(h)=h+8

C. B(h)=8h

D. B(h)=8+h

C

Your business currently has 12 employees. You plan to add three new employees each year for the life of your business. Which function below models your plan? Note that N represents the number of employees while y=0 corresponds to the current year.

A. N(y)=12y+3

B. N(y)=36+y

C. N(y)=12+3y

D. N(y)=12-3y

C

The temperature outside is currently 50 degrees Fahrenheit and decreasing at a rate of 2 degrees per hour.

Choose the function that models this scenario.

A. T(h)=50h-2

B. T(h)=50+2h

C. T(h)=50-2h

D. T(h)=50h+2

C

The cost to mail a package that weighs z ounces is given by the function C(z)=$2.50+0.08z.

How much would it cost to mail a package that weighs 14 ounces?

A. $13.24

B. $14.20

C. $2.58

D. $3.62

D

You currently earn $62,000 annually and will be given a pay raise soon. If the pay raise is given as a percentage or rate, r, the increase in pay, I, can be represented by the function I(r)=62,000(r).

What is the increase in pay if you were given a 9% raise?

A. $3,580

B. $67,580

C. $558,000

D. $5,580

D

You purchase a compact car for $22,000. The depreciation value after t years is given by the function: V(t) = 22,000 - 1400t. Find the value of the car after three years.

A. $17,800

B. $20,600

C. $26,200

D. $61,800

A

Given the function C(p)=20-p, which of these would be a coordinate on the graph?

A. (5, 16)

B. (5, 18)

C. (5, 17)

D. (5, 15)

D

Suppose a short-distance towing company uses the function P(m)=1.8m+32 to determine the price, P, of towing a car m miles. What would the price be for the coordinate (10, P)?

A. 33.8

B. 42

C. 18

D. 50