Question

In: Math

The number of customers in a local dive shop depends on the amount of money spent...

The number of customers in a local dive shop depends on the amount of money spent on advertising. If the shop spends nothing on advertising, there will be 105 customers/day. If the shop spends $100, there will be 170 customers/day. As the amount spent on advertising increases, the number of customers/day increases and approaches (but never exceeds) 300 customers/day.

(a) Find a linear to linear rational function y = f(x) that calculates the number y of customers/day if $x is spent on advertising.

(b) How much must the shop spend on advertising to have 200 customers/day?

(c) Sketch the graph of the function y = f(x) on the domain 0 ≤ x ≤ 5000.

(d) Find the rule, domain and range for the inverse function from part (c).

Domain:

Range:

Explain in words what the inverse function calculates.

Solutions

Expert Solution

The given Question can be solved by forming a linear equation according to the given condition.

I have provided a detailed complete solution to this problem, hope it helps. Please do upvote if you found the solution helpful. Feel free to ask any doubt regarding this question in the comment section. Thanks!

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