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The cost of going to the local fair is represented by the function, F(x) = 1.25x + 12. Where x represents the number of rides and F(x) represents the total cost including the price per ride and an admission fee.

 

Find x, when F(x) = 27. What does it mean in the context of this problem?

 

*I only know how to solve for y it would be much appreciated if someone could show me the steps to answering this question as I have a test in the morning, thanks*

 Mar 14, 2019
 #1
avatar+99237 
+1

F(x) =  1.25x + 12

 

When F(x) = 27, we have

 

27 = 1.25x + 12    subtract 12 from both sides

 

15 = 1.25 x      divide both sides by 1.25

 

12 = x

 

This means that the number of rides = 12

 

(And the admission fee is  $12 )

 

 

cool cool cool

 Mar 14, 2019
 #2
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+1

 

F(x) = 1.25x + 12  

 

Find x when F(x) = 27 

 

This isn't too complicated, just substitute 27 in place of F(x) and solve for x

 

Like this:                                                   27 = 1.25x + 12 

Swap sides of the equation                      1.25x + 12 = 27                 this isn't necessary, I just prefer the x on the left

Subtract 12 from both sides                     1.25x = 27 – 12 = 15

Divide both sides by 1.25                          x = 15/1.25 = 12

 Mar 14, 2019
edited by Guest  Mar 14, 2019
 #3
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+1

 

Think of it this way:

 

It costs 12 dollars to get in.

 

It costs 1.25 dollars for each ride.

 

You have 27 dollars in your pocket and you're going to spend it all.

 

How many rides can you go on? 

 

.

 Mar 14, 2019

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