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 <u>common ratio</u>. 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:
<u>Fill in the table using random hours, then check if the pairs are proportional.</u>
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.... <u>Different quotient. There is no common ratio</u>.
Since there is no common ratio, the number of hours yo can rent the boat is not proportional to the total cost.
