Question

start by thinking about toni. in the equation $y = 15x$, $y$ is the number of miles traveled after biking for $x$ hours. how many miles does she bike per hour? in other words, what is her rate of change?
tonis biking
$y = 15x$
toni bikes \boxed{} miles per hour.
leahs biking

elapsed time (hr)	distance traveled (mi)
3	36
4	48
6	72

leah bikes? miles per hour.

Explanation:

Step1: Identify Toni's rate

The equation $y=15x$ is in the form $y=kx$, where $k$ is the rate (miles per hour). Here, $k=15$.

Step2: Calculate Leah's rate

Use rate formula: $\text{Rate} = \frac{\text{Distance}}{\text{Time}}$. Take first row: $\frac{24}{2}=12$. Verify with second row: $\frac{36}{3}=12$.

Answer:

Toni bikes 15 miles per hour.
Leah bikes 12 miles per hour.