Interpret the structure of expressions Quiz

The rental fee for space at a flea market is $200 per month base rate plus an additional $10 for each square yard of floor space beyond the standard area of 12 square yards. The total fee can be modeled using the equation in the box, where F represents the fee, and x represents the number of square yards rented beyond the standard area. F = 10x + 200 What is the most reasonable meaning of the number 10 in this equation?

• the base rate to rent space

• the fee for each additional square yard of floor space beyond the standard 12 square yards

• the base rate plus the fee for each additional square yard of floor space

• the fee for the insurance coverage for the vendor

Carlos is renovating a house and hires a plumber to install the piping for the new bathroom. The plumber charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y = 100 + 35x can be used to model the total cost of the job, in dollars. What does the slope in the expression of this function represent?

• the initial fee for the installation, $35

• the initial fee for the installation, $100

• the cost per hour of installation work, $35

• the number of hours to complete the installation, x

Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y = 120 + 55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?

• $55; the electrician’s initial fee for the job

• $120; the electrician’s initial fee for the job

• x; the number of hours to complete the job

• y; the total cost of the job

Sarah deposits $500 into a bank account earning 2% interest per year. The amount of money in the account ( A ) at any time (t ), in years, is represented by the equation A(t) = 500(1.02)^t . Which best describes the equation in words?

• The amount of money present in the account at any time is a product of 500 and a power of 1.02.

• The amount of money present in the account at any time is a power of 500 and a product of 1.02.

• The amount of money present in the account at any time is a sum of 500 and a power of 1.02.

• The amount of money present in the account at any time is a power of 500 and a sum of 1.02.

Charla uses the formula A = 1,500(1 + 0.015)^5 to determine how much money is in her savings account right now. What does the 1,500 stand for?

• the amount of money before any interest is calculated

• the percent of the initial value present in the account after 5 years

• the number of years the money is in the account

• the total money when it is taken out of the account after 5 years

Emma is planning to buy a new car and is considering a loan option. The bank offers a loan with an initial processing fee and a monthly interest rate. The total cost of the loan can be modeled by the equation C = 500 + 0.05m , where C is the total cost and m is the number of months. What does the 0.05 represent in this equation?

• the number of months the loan is taken for

• the total cost of the loan

• the monthly interest rate on the loan

• the initial processing fee for the loan

Alice is saving money for a vacation. She deposits $1,000 into a savings account that earns 3% interest per year. The amount of money in the account ( A ) after t years is given by the equation A(t) = 1000(1.03)^t . What does the 1.03 in the equation represent?

• the total amount after t years

• the initial deposit amount

• the growth factor per year

• the annual interest rate

John is considering a gym membership that has a one-time registration fee and a monthly fee. The total cost of the membership can be modeled by the equation T = 50 + 20m , where T is the total cost and m is the number of months. What does the number 20 represent in this equation?

• the number of months the membership is for

• the monthly fee for the membership

• the one-time registration fee

• the total cost of the membership

• F
• G
• H
• J

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