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.

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

See attachment for complete question

Given

Malcom's Family:

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

First, we determine the slope, m:

Next, we determine equation for Theo's family using:

Add 50 to both sides

So, we have the following:

--- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

--- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

Which implies that Malcom's family travel 15 miles per hour faster than Theo's

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step-by-step explanation: