Question

The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel y miles. The scatterplot below represents the situation.

Travel
A graph has time (minutes) on the x-axis and miles driven on the y-axis. A trend line has a regression equation of y = 1.04 x minus 7.15.


Based on the information above, how many miles should a person who drives for 48 minutes expect to travel?
32 miles
42 miles
48 miles
54 miles

Answer 1

To estimate the miles traveled in 48 minutes, use the regression equation y = 1.04x - 7.15, which yields approximately 43 miles. The closest provided answer is 42 miles. Therefore correct option is B

Step-by-step explanation:

Based on the given regression equation y = 1.04x - 7.15, to find how many miles a person should expect to travel when driving for 48 minutes, we simply substitute x with 48 and solve for y:

y = 1.04(48) - 7.15

y = 49.92 - 7.15

y = 42.77 miles

Since the choices are whole numbers, we round our answer to the nearest whole number, which gives us 43 miles. However, considering the choices given in the question, the closest answer is 42 miles.