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10 (and a graph with x-axis labeled hours (0 to 3.5), y-axis labeled mi…

Question

10 (and a graph with x-axis labeled hours (0 to 3.5), y-axis labeled miles (0 to 210), and a line from (0,0) to (3.5,210))

Explanation:

Step1: Identify two points

The graph passes through (0, 0) and (1, 60) (since at 1 hour, miles are 60).

Step2: Calculate slope (rate)

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{60 - 0}{1 - 0} = 60$. So the equation is $y = 60x$.

Step3: Verify with another point

At $x = 3$, $y = 60*3 = 180$, which matches the graph.

Answer:

The relationship is linear with a rate of 60 miles per hour, equation $y = 60x$. (If the question was about speed, the speed is 60 mph.)