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jenyasd209 [6]
3 years ago
11

A shipping company's inventory for a given item is modeled by the function f(x) = 500 − 8x, where "x" is the number of hours tha

t 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.
Mathematics
2 answers:
swat323 years ago
5 0

Answer:

See step by step explanation.

Step-by-step explanation:

1. The coefficient of x means there are 8 item shipped every hour.

2. g(x) = 500 - f(10) - 16x = 420 - 16x

Anit [1.1K]3 years ago
4 0

Answer:

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

g(x)=420-16x

Step-by-step explanation:

The given function is

f(x)=500-8x

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

f(x)=500-8(10)=420

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

2\times (-8)=-16

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

g(x)=420-16x

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

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