Question

james swam at a constant speed. he swam 8 miles in 4 hours. what does the constant of proportionality of mean? the constant of proportionality is. the constant of proportionality of means that james

Explanation:

Step1: Recall constant - of - proportionality concept

The constant of proportionality $k$ in a relationship $y = kx$ (where $y$ is the dependent variable and $x$ is the independent variable) represents the rate of change. In the context of distance $d$ and time $t$, the formula is $d=kt$. Here, $d$ is the number of miles and $t$ is the number of hours.

Step2: Calculate the constant of proportionality

We know that James swam $d = 8$ miles in $t = 4$ hours. The constant of proportionality $k=\frac{d}{t}=\frac{8}{4}=2$. The constant of proportionality of 2 means that for every 1 - hour increase in time, the number of miles swam increases by 2.

Answer:

swims 2 miles per hour