Question

interpreting points on graphs of proportional relationships - item 1822 a car is traveling at a constant speed of m miles per hour. which coordinate is represented on the graph? (m,1) (1,m) (m,m)

Explanation:

Step1: Recall speed - distance - time formula

Speed $s=\frac{d}{t}$, where $s$ is speed, $d$ is distance and $t$ is time. Given speed $s = M$ miles per hour.

Step2: Analyze coordinates meaning

In the graph, the $x$-axis represents time $t$ and the $y$-axis represents distance $d$. When $t = 1$ hour, using the formula $d=s\times t$, and since $s = M$, then $d = M\times1=M$. So the coordinate is $(1,M)$ where the $x$-value (time) is 1 and the $y$-value (distance) is $M$.

Answer:

$(1,M)$