Question

the scatter plot shows the relationship between the number of hours michele cycles on different days and the number of miles traveled each day. a line of best fit is drawn on the scatter plot. based on the line of best fit, which is the best estimate for the number of miles michele would cycle in 2 hours? 25 miles 16 miles 19 miles 13 miles

Explanation:

Step1: Find slope of best fit

First, pick two points on the line of best fit. Let's use (0, 0) and (1, 12). The slope $m$ is $\frac{12-0}{1-0}=12$.

Step2: Write line equation

The line passes through (0,0), so the equation is $y=12x$, where $y$ is miles, $x$ is hours.

Step3: Calculate miles for 2 hours

Substitute $x=2$ into the equation: $y=12\times2=24$. The closest option is 25 miles.

Answer:

25 miles