Question

1. car x travels 186 miles in 3 hours. part a write the equation of the line that describes the relationship between distance and time. part b which graph represents the relationship between distance and time for car x? a time (hr) 310 0 distance (mi) 4 x car x b time (hr) 3 213 0 distance (mi) x car x c time (hr) 4 248 0 distance (mi) x car x d time (hr) 4 248 0 distance (mi) x car x

Explanation:

Step1: Find the speed of Car X

The speed $m$ is calculated by the formula $m=\frac{\text{distance}}{\text{time}}$. Given that Car X travels 186 miles in 3 hours, so $m = \frac{186}{3}=62$ miles per hour. The equation of the line for the relationship between distance $y$ and time $x$ is $y = mx$, substituting $m = 62$, we get $y=62x$.

Step2: Check the graphs

For option A, when $x = 4$, $y=62\times4 = 248$. The graph in option A has the wrong - scale and wrong - values.
For option B, when $x = 3$, $y=62\times3=186$, but the graph in option B has wrong values.
For option C, when $x = 4$, $y = 62\times4=248$. The graph in option C has the correct relationship where the line passes through the origin $(0,0)$ and when $x = 4$, $y=248$.
For option D, the values on the graph do not match the relationship $y = 62x$.

Answer:

PART A: $y = 62x$
PART B: C