The johnson family is taking a car trip. they are driving at an average speed of 60 miles per hour. the graph shows their distance traveled over time. what does the point (5, 300) represent in this situation? (graph in picture) a) the johnson family will travel 300 miles in 5 hours. b) the johnson family will finish their trip in 5 hours. c) the johnson family drives 5 miles per hour for 300 miles. d) the johnson family vacation destination is 300 miles away.

For this case we have the following data:

Given the point

When we place it in the graph, we can interpret that:

In 5 hours, 300 miles are traveled.

If we want to verify, we use the equation of velocity:

So, the correct option is: The Johnson family will travel 300 miles in 5 hours.

Option A

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: