Question

1. A taxi driver records the time required to complete various trips and the distance for each trip. distance (miles) 10 20 30 40 50 60 70 80 me minutes) The equation for the line of best fit is y = 0.50x + 0.40. Which of the following statements BEST interprets the slope of the line of best fit? A. For every 0.50 minute increase in time, the distance increases by 1 mile. B. For every 1 minute increase in time, the distance increases by 0.50 miles. C. For every 0.50 minute increase in time, Ine distance decreases by 1 mie. D. For every 1 minute increase in time, the distance decreases by 0.50 miles A

Answer 1

B; for every 1 minute increase in time, the distance increases by 0.50 miles

Here, we want to select the best interpretation for the slope of the line of best fit

From the question, we are having a plot of distance in miles (on the y-axis) against time in minutes on the x-axis

Mathemaically, finding the slope deals with dividing the change in value on the y-axis by the change in value on the x-axis

So in this case, we are looking at miles per minute

So, the correct option is that;

For every 1 minute increase in time, the distance increases by 0.5 miles (that is what is meant by 0.5 miles per minute)