Question

The table shows the total cost of renting a canoe based on the number of hours and a one-time rental fee.

Number of Hours, h Total Cost ($), c
1 16
2 27
3 38
4 49

Which equation represents the total cost c of renting a canoe for h hours?
Multiple choice question.

A)
c=11h+5


B)
c=16h


C)
c=5h+11


D)
h=11c+5

Answer 1

A

Explanation:

(h = hours, c = cost)

Looking at A),

• c=11h+5

We can insert 2 in for h:

• 27 = 11 × 2 + 5

Let's try inserting 3:

• 38 = 11 × 3 + 5

Therefore, A) represents the problem correctly.

Let's look at B),

• c=16h

Let's insert 2 in for h:

• 27 ≠ 16 × 2

Now 3:

• 38 ≠ 16 × 3

Therefore, B) does not represent the problem correctly.

Let's look at C),

• c=5h+11

Inserting 2:

• 21 = 5 × 2 + 11

21 is not the proper price, so this equation does not represent the problem correctly.

Lastly, let's look at D),

• h=11c+5

This equation is not correct because it is not trying to solve for c, it is trying to solve for h.

Therefore, A) represents the total cost of renting a canoe for h hours.