Question

what is the unit rate depicted in the graph? lap times laps minutes 0.75 laps in one minute 1.25 laps in one minute 3 laps in 4 minutes 4 laps in 3 minutes

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: (4, 3) and (8, 6). These points represent minutes (x - axis) and laps (y - axis).

Step2: Calculate the slope (unit rate)

The formula for slope (unit rate) is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points (4, 3) and (8, 6):
$m=\frac{6 - 3}{8 - 4}=\frac{3}{4} = 0.75$? Wait, no, wait. Wait, actually, the unit rate of laps per minute is $\frac{\text{laps}}{\text{minutes}}$. Let's take the point (4, 3): $\frac{3}{4}=0.75$ laps per minute. Wait, but let's check another point. (8, 6): $\frac{6}{8} = 0.75$ laps per minute. Alternatively, if we take (4,3), 3 laps in 4 minutes is a rate, but the unit rate is per 1 minute. So 3 laps in 4 minutes is $\frac{3}{4}=0.75$ laps per minute. Let's check the options. Option A is 0.75 laps in one minute. Let's verify with the graph. At x = 4 (minutes), y = 3 (laps). So per minute, it's 3/4 = 0.75. At x = 8, y = 6, 6/8 = 0.75. So the unit rate is 0.75 laps per minute.

Answer:

A. 0.75 laps in one minute