Joe's Canoes charges an initial fee of $20 plus $4 an hour to rent a canoe. Callie's Canoes charges a flat rate of $14 an hour to rent a canoe.
A) write an equation and solve to find the number of hours for which the total amount that both places would charge would be the same. Explain your answer in words.
B)if you wanted to rent a canoe for 3 hours, who should you rent from and why?

Question

06-03-2017
Mathematics

contestada

Joe's Canoes charges an initial fee of $20 plus $4 an hour to rent a canoe. Callie's Canoes charges a flat rate of $14 an hour to rent a canoe.
A) write an equation and solve to find the number of hours for which the total amount that both places would charge would be the same. Explain your answer in words.
B)if you wanted to rent a canoe for 3 hours, who should you rent from and why?

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IPMATH IPMATH · Answer 1 · 2017-03-06T06:01:08+01:00

Joe's y = 4x + 20 ($20 initial value and a rate of $4 per hr)
slope/rate is $4 per hour and the initial fee/y interceot is 20

Callie's y = 14x (no initial fee and a flat rate if $14 per hr)
slope/rate is $14 per hour and the initial fee/y intercept is 0

Substitute in 3 for x to see who's price is better for 3 hours
y = 4(3) +20 or y = 14(3)
y = $32 y = $42

Callie's has the better deal for 3 hours. Only for 1 hour Joe has the better deal. At 2 hours, both are the same price, and 3 hours plus, Callie will always be cheaper.