The number of customers in a local dive shop depends on theamount of money spent on advertising. If the shop spends nothing onadvertising, there will be 105 customers/day. If the shop spends$100, there will be 170 customers/day. As the amount spent onadvertising increases, the number of customers/day increases andapproaches (but never exceeds) 300 customers/day.
(a) Find a linear to linear rational functiony = f(x) thatcalculates the number y of customers/day if $x isspent on advertising.
(b) How much must the shop spend on advertising to have 200customers/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 functionfrom part (c).
Domain:
Range:
Explain in words what the inverse function calculates.
