Question

The function f(x) = 15x + 420 can be used to model a store's inventory of devices in one month. The function g(x) = 18x + 380 can be used to model a store's inventory of devices the second month. Write a new function in function notation, using h(x), to model the store's total inventory for both months.

A. h(x) = 33x + 800
B. h(x) = 33x + 420
C. h(x) = 33x + 800
D. h(x) = 33x + 380

Answer 1

To find the total inventory function h(x), add the coefficients of the x terms and the constants from f(x) and g(x), resulting in h(x) = 33x + 800.

Step-by-step explanation:

The question asks for the function that models the store's total inventory for both months, combining the inventory functions f(x) for the first month and g(x) for the second month. The function for the first month's inventory is f(x) = 15x + 420, and the second month's inventory is g(x) = 18x + 380. To find the total inventory function h(x), we add f(x) + g(x).

By adding the coefficients of the x terms and the constants, we get:

So, the new function h(x), which models the store's total inventory for both months, is h(x) = 33x + 800.