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

1 answer

To find out how many miles a person who drives for 48 minutes should expect to travel, we can plug \( x = 48 \) into the regression equation \( y = 1.04x - 7.15 \).

Calculating this:

\[ y = 1.04(48) - 7.15 \]

\[ y = 49.92 - 7.15 \]

\[ y = 42.77 \]

Rounding this to the nearest whole number, we get approximately 43 miles.

Since the options provided are:

  • 32 miles
  • 42 miles
  • 48 miles
  • 54 miles

The closest expected value based on the regression equation would be 42 miles.