Question

5. Thomas counts the number of cars he sees in the parking lot of the school each hour of the day. He counted the following number of cars the first four hours of the day. 12 cars the first hour 24 cars the second hour 36 cars the third hour • 48 cars the fourth hour What is true of the function Thomas wrote that represents the number of cars as a function of the number of hours, h? Select the Two that apply. a. The function is linear. b. The function is exponential. The common ratio is 12. d. The common difference is 12. C.

Answer 1

For the information given in the statement, the independent variable of the function is h and the dependent variable of the function is n, where n is the number of cars seen by Thomas.

So you have the following table:

Checking the options:

Option a. and b. To know if the function is linear or exponential, you can graph the ordered pairs and see what relationship they have:

As you can see the relationship between the number of hours and the number of cars seen by Thomas is a linear relationship and not exponential. Therefore, the true option is a.

Option c. The common difference is the constant amount of change between numbers in an arithmetic sequence: