the function below shows the cost to attend the fair if you ride r rides

Question

f(r) = 5 + 1.7r

what is the y-intercept

What is the slope

if Al spent $19.00 at the fair how many rides did Al ride

Answer 1

The function you've provided is \( f(r) = 5 + 1.7r \).

1. Y-Intercept: The y-intercept is the value of the function when \( r = 0 \). So, substituting \( r = 0 \) into the function:

   \[ f(0) = 5 + 1.7(0) = 5 \]

   Therefore, the y-intercept is 5.

2. Slope: The slope of the function is the coefficient of \( r \). In this case, it is 1.7.

3. Finding the number of rides Al rode: If Al spent $19.00, you can set the function equal to 19:

   \[ 19 = 5 + 1.7r \]

   To solve for \( r \), first subtract 5 from both sides:

   \[ 19 - 5 = 1.7r \ 14 = 1.7r \]

   Now, divide both sides by 1.7:

   \[ r = \frac{14}{1.7} \approx 8.24 \]

Since Al cannot ride a fraction of a ride, if you round down, Al rode 8 rides.