Question

43 You want to rent a canoe for an afternoon. The cost consists of an initial $18 plus an additional fee for each hour you use the canoe. It cost you $54 to use the canoe for 3 hours. Write a linear equation to represent how much the cande would cost to use it for a certain number of hours. y=18x+3 all if you only have $42 how long will you be able to rent a canoe for? Between the Desks, 2018

Answer 1

If x is the number of hours, and the price per hour is m, then, mx plus the additional fee $18 is the total cost of the service.

If y is the total cost, you have:

y = mx + 18

To determine the value of m consider that for 3 hours, that is, for x=3, y = 54. Replace these values of x and y into the previous equation and solve for m, just as follow:

54 = m(3) + 18

54 = 3m + 18

54 - 18 = 3m

36 = 3m

36/3 = m

12 = m

Hence, the equation that represents the given situation in:

y = 12x + 18