Question

The Vista Marina rents boats for 25$ per hour. In addition to the rental fee, there is a 12$ charge for fuel. Is the number of hours you can rent the but proportional to the total cost?
explain. use the table to support your answer.​

Answer 1

Answer:

No, the total numbers of hours you can rent the boat is not proportional to the total cost.

Step-by-step explanation:

Proportional means when two or more pairs of numbers are at a common ratio. This means when you divide the numbers that correspond to each other from each pair, the quotient is the same.

Ex: (1,2) and (4,8) are proportional.

1 corresponds with 4. 1/4 = 0.25

2 corresponds with 8. 2/8 = 0.25     Same quotients, common ratio is 0.25.

Solving the problem:

Fill in the table using random hours, then check if the pairs are proportional.

According to the problem, you pay $25/h and there is also a flat fee of $12 (money you will pay despite rental time). This means the money you pay is : ($25 X Rental Time) + $12

Choose three random numbers for "Rental Time". Use the equation for each rental time to find the "Cost ($)".

When Rental Time (h) = 1:

($25 X Rental Time) + $12

= ($25 X 1h) + $12

= $37

When Rental Time (h) = 2:

($25 X Rental Time) + $12

= ($25 X 2h) + $12

= $62

When Rental Time (h) = 3:

($25 X Rental Time) + $12

= ($25 X 3h) + $12

= $87

Fill in the table:

Rental Time (h)         1        2       3

Cost ($)                     37     62     87

The pairs are (1, 37), (2, 62) and (3, 87).

Choose two and check if they are proportionate.

1 corresponds with 2. 1/2 = 0.5

37 corresponds with 62. 37/62 = 0.59677.... Different quotient. There is no common ratio.

Since there is no common ratio, the number of hours yo can rent the boat is not proportional to the total cost.