The function below shows the cost to attend the fair if you ride r rides.
f(r) = 5 + 1.75r
a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Al spent $19.00 at the fair, how many rides did Al ride?
a. The y-intercept of the function is 5. This represents the base cost to attend the fair, regardless of the number of rides.
b. The slope of the function is 1.75. This represents the additional cost per ride.
c. To find the number of rides Al rode, we can set the cost equal to $19.00 and solve for r:
5 + 1.75r = 19
Subtracting 5 from both sides:
1.75r = 14
Dividing both sides by 1.75:
r = 8
Therefore, Al rode 8 rides.