Analyzing Compositions of Functions — Unit test Answers

The graph shows the exponential regression model for data representing a rabbit population after x years.

Consider the tables.

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

Choose the function that represents the data in the table.

The table shows a company’s profit based on the number of pounds of food produced.

Drew creates a table of ordered pairs representing the width and area of a dog pen.

The table shows the daily pay in dollars, f(x), earned by a salesperson who makes x number of sales.

A car dealership is offering $1,500 cash back on the purchase of a new vehicle. The cost, after the cash back, of a new vehicle can be modeled by the function C(x) = x – 1,500, where x is the original price of the vehicle. The vehicle is subject to a sales tax of 8.43%, so the total price of the vehicle is represented by the function P(C) = 1.0843C.

A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually?Compound interest formula: t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years

Choose the function that represents the data in the table.

The table shows the height of a candle as it is continuously burned.

If , , and , what is ?

Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses the table below to keep track of the number of movies she rents each month and the total cost, which includes her monthly membership fee.Number of Movies vs. Total CostNumber of Movies1215922Total Cost$35.00$42.50$27.50$60.00Ashley graphed the relationship in the table. What is the slope of the graph, and what does it represent?

A customer deposits $1,000 in an account in which the interest is compounded annually. The table below shows the balances in the account at the end of each year.Amount in Account vs. Number of YearsAmount in Account, ANumber of Years After Initial Deposit, t1,00001,08011,166.4021,259.7131,360.494Which equation best represents the data in the table?