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?

Answer 1

c=11h+5 and c=16h

Explanation:

(h = hours, c = cost)

Looking at A),

c=11h+5

We can insert 2 in for h:

27 = 11 × 2 + 5

Lets try inserting 3:

38 = 11 × 3 + 5

Therefore, A) represents the problem correctly.

Lets look at B),

c=16h

Lets insert 2 in for h:

27 = 16 × 2

Now 3:

38 = 16 × 3

Therefore, B) also represents the problem correctly.

Lets 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, lets 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) and B) represent the total cost of renting a canoe for h hours.