Question

lydia ran at a constant speed. she ran 10 miles in 2 hours. what does the constant of proportionality of 5 mean? the constant of proportionality is 5. the constant of proportionality of 5 means that lydia ran 5 miles every hour ran 1 mile every 5 hours

Explanation:

Step1: Recall constant - of - proportionality concept

In a proportional relationship between two variables (here, number of miles $y$ and number of hours $x$), the equation is $y = kx$, where $k$ is the constant of proportionality. It represents the rate of change.

Step2: Analyze the context

Lydia ran 10 miles in 2 hours. The constant of proportionality $k=\frac{y}{x}=\frac{10}{2} = 5$. This means for every 1 - unit increase in the number of hours ($x$), the number of miles ($y$) increases by 5.

Answer:

ran 5 miles every hour