Question

20 points!!!

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.


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

I think the answer is 42 miles 

Answer 2

Hence, the number of miles a person who drives for 48 minutes expect to travel is:

42 miles.

Explanation:

We are given a scatter plot such that the data points:

(15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55)

are plotted in it.

and we are given a equation of the trend line of the scatter plot as:

`y=1.04x-7.15`

where x represents the time and y represents the distance traveled in miles.

Now, we are asked to find the miles a person would drive in 48 minutes.

i.e. we are asked to find the value of y when x=48

Hence, we put x=48 in equation (1) to get:

`y=1.04* 48-7.15\\\\i.e.\\\\y=42.77`

which is approximately equal to 42