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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50¢ price increases.

Question

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Respuesta :

Akinny Akinny · Answer 1 · 2019-11-13T15:48:47+01:00

Answer:

b(x) = (3+ 0.5x) (38-4x)

Step-by-step explanation:

Let

b= revenue generated per day

x= is the number of $0.5 price increases.

b = price x quantity.................................... (1)

Let derive the price function for the model

price = $3 per book

However, assuming x number of price increase by $0.5, future price is given as :

price = (3+0.5x)........................................... (2)

quantity = 38 per day

For every x number of price $ 0.5 price jump, quantity reduces by 4. So the quantity at any given time is given by:

quantity = (38-4x)........................................(3)

Substituting into equation (1),

We have:

b (x) = (3+0.5x) (38-4x).................................... (4)