Malcolm and Theo's families are both traveling to the same vacation resort. The equation d=65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family

10 miles per hour

15 miles per hour

30 miles per hour

65 miles per hour

Graph is missing, so i have attached it.

15 miles per hour

Step-by-step explanation:

We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.

Since we are comparing speed of both families, then we will find the speed here.

Formula for speed is;. Speed = distance/time

d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.

For Theo's family, looking at the image attached;

At a distance of 50 miles, time spent is 1 hr

At a distance of 100 miles, time spent is 2 hrs

At a distance of 150 miles, time spent is 3 hrs

At a distance of 200 miles, time spent is 4 hrs

Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.

They all give a constant value of 50 m/hr.

Thus, speed of Theo's family = 50 mi/hr

Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr