SOLUTION: I need some help figuring out this word problem. At the fair you have to pay to get in and then for each ride. You spent a total of $20.50 and went on 5 rides. Your brother spe

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Question 1103309: I need some help figuring out this word problem.
At the fair you have to pay to get in and then for each ride. You spent a total of $20.50 and went on
5 rides. Your brother spent a total of $26.50 and went on 7 rides.
Let x be the number of rides and y be your total cost.
How much would it be for you to go on 10 rides?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At the fair you have to pay to get in and then for each ride. You spent a total of $20.50 and went on
5 rides. Your brother spent a total of $26.50 and went on 7 rides.
Let x be the number of rides and y be your total cost.
How much would it be for you to go on 10 rides?
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You have two points:: (5,20.5) and (7,26.5)
Find the equation::
slope = (26.5-20.5)/(7-5) = 3
Form:: c = m*r + b
Solve for "b"::
20.5 = 3*5 + b
b = 5.5
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Equation:: c(x) = 3*r + 5.5
Answer: c(10) = 3*10 + 5.5 = $35.50
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Cheers,
Stan H.
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