C957 Applied Algebra - Module 1 Quiz With 100% accurate solutions already graded A+

A rental car company charges a flat fee of $39 for a car rental. They charge an additional $0.62 for each mile driven.

Which function F represents the cost to rent a car, where m represents the number of miles?

A. F(m)=39+0.62m

B. F(m)=39+0.62+m

C. F(m)=39m+0.62

D. F(m)=(39+0.62)m

A

You just started a lawn company. You spent $200 in initial costs, and you earn $150 per month. Which function can be used to predict your profit after x months?

A. F(x)=150x+200

B. F(x)=200x-150

C. F(x)=200x+150

D. F(x)=150x-200

D

Which represents the inputs and outputs of a function?

A. Input: Number of vacation days; Output: Annual salary

B. Input: Speed of car; Output: Distance traveled in one hour

C. Input: Scores on an algebra assignment; Output: The number of students in an algebra class

D. Input: The number of the news channel; Output: The number of TV shows on at 7:00 p.m.

B

Which variable is a qualitative variable?

A. Your child's name

B. Your shirt color

C. Your salary

D. Your bank account number

B

A cell phone company charges a fee of $90 per month of service. A customer's cost, C, for service can be represented by the function C(m)=90m, where m represents the number of months.

Find the total cost for six months of service.

A. $5,400

B. $90

C. $540

D. $96

C

The output of toy cars in a toy factory is affected by the number of employees working per shift.

Which variable is the dependent variable?

A. The number of toy cars produced

B. The number of employees working each shift

A

The price of gasoline is $2.50 per gallon. The cost, C, can be represented by the function C(n)=2.5n, where n is the number of gallons of gasoline.

What is the inverse function?

A. The inverse function gives the number of gallons of gasoline as a function of the cost when the price of gasoline varies.

B. The inverse function gives the cost as a function of the number of gallons of gasoline, when the price of gasoline is $2.50 per gallon.

C. The inverse function gives the number of gallons of gasoline as a function of the cost when the price of gasoline is $2.50 per gallon.

D. The inverse function gives the price of gasoline as a function of the number of gallons of gasoline.

C

Apples are on sale for $1.65 per pound at the grocery store. The equation c=1.65p gives the cost c for apples in terms of the weight p (in pounds).

Write this equation so it gives the weight p in terms of the cost c.

A. p=1.65c

B. p=c−1.65

C. 1.65p=c

D. p=c/1.65

D

You are an IT manager with six people on your team. Each team member works 40 guaranteed hours a week. If a new software tool or platform is rolled out, more help is needed for customer support, and your team members may work a few hours of overtime.

Which of the following choices listed is a variable?

A. Providing customer support

B. The number of overtime hours

C. Forty guaranteed hours of work

D. Six team members

B

You work in IT on many different platforms (PC, Mac, Linux, etc.) with different types of software and tools. One of your friends also works in IT. She is the administrator of a college learning management system.

Which choice is a qualitative variable?

A. The fact that your friend and you both work in IT

B. The number of platforms you work on in one day

C. Your job title

D. The platform you work on for any given project

The number of law enforcement officers has increased in a neighborhood. People later notice that the number of crimes has decreased.

Which variable is the independent variable in this context?

A. The number of crimes

B. The number of law enforcement officers

B

Which of the following is a predicted output based on an input?

A. The price of coffee based on your weight.

B. The winning lottery numbers based on the numbers you selected.

C. The temperature of the refrigerator based on the selected setting.

D. The weather based on your mood.

C

A company that sells running shoes has a yearly fixed cost of $500,000. Additionally, it costs the company $20 to produce each pair of shoes. The company's yearly cost is represented by the function C(x)=500,000+20x, where x equals the number of shoes.

If the company produces 10,000 pairs of shoes in a year, what is the yearly cost?

A. $900,000

B. $700,000

C. $300,000

D. $520,000

B

You want to drain your rectangular in-ground swimming pool, which contains 9,000 gallons of water. The amount of water remaining in the pool can be represented by the function W(t)=9-2t, where t is the time, in hours, after the draining began. The function, W(t), is measured in thousands of gallons.

How many gallons of water are in the pool two hours after the draining procedure begins?

A. 4,000 gallons

B. 5 gallons

C. 5,000 gallons

D. 7,000 gallons

C