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*
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 )
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