Ashipping company's inventory for a given item is modeled by the function f(x) = 500 − 8x, where "x" is the number of hours that elapse since opening. explain the contextual meaning of the coefficient of x and write a function g(x) to model tomorrow's inventory if the company ships for ten hours today, no new inventory arrives, and the shipping rate doubles.

The coefficient of x is -8 it means the company ships 8 items each hour.

Step-by-step explanation:

The given function is

where, "x" is the number of hours that elapse since opening.

In the given function 500 represents the initial inventory and coefficient of x represent rate of shipping per hour.

The coefficient of x is -8 it means the company ships 8 items each hour.

It the company ships for ten hours today, then the initial inventory for tomorrow is

The shipping rate doubles. So, the shipping rate for tomorrow is

The function g(x) to model tomorrow's inventory is

Therefore, the required function is g(x)=420-16x.

n

step-by-step explanation: