Question

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