An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats if he charges $3 for each rental. He also knows that he can rent out only 38 if he charges $4 for each rental and that, in general, there will be 2 fewer paddleboat rental for each extra dollar he charges per rental. What would the owner's total revenue be if he charged $6 for each paddleboat rental?

a. $60

b. $135

c. $145

d. $66

Question

Mathematics

Maleah

7 August, 22:35

An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats if he charges $3 for each rental. He also knows that he can rent out only 38 if he charges $4 for each rental and that, in general, there will be 2 fewer paddleboat rental for each extra dollar he charges per rental. What would the owner's total revenue be if he charged $6 for each paddleboat rental?

a. $60

b. $135

c. $145

d. $66

+3

Answers (2)

Know the Answer?

Roy Velasquez · Answer 1

The owner's total revenue would be $204 if he charged $6 for each paddle boat rental.

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

= $204

The owner's total revenue would be $204 if he charged $6 for each paddle boat rental.

Kenyon Kim · Answer 2

The right answer is $ 204, but none of the options given is correct.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of paddle-boats available for rent on the lake = 40

Cost of rent = $ 3

The owner knows that he can rent out only 38 if he charges $4 for each rental and that, in general, there will be 2 fewer paddle-boats rental for each extra dollar he charges per rental

2. What would the owner's total revenue be if he charged $6 for each paddle-boat rental?

Let's use a table to represent the relationship between number of paddle-boats for rental and the cost of the rent, this way:

Paddle-boats 40 38 36 34 32 30 28 26 24 22 20

Cost of rent in $ 3 4 5 6 7 8 9 10 11 12 13

As we can see in the table, the total revenue when $ 6 is the cost of rental is:

Total revenue = Cost of rental * Number of paddle-boats available

Total revenue = 6 * 34

Total revenue = $ 204