Question

Please Help

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.

Answer 1

The correct Option is A. The Johnson family will travel 300 miles in 5 hours.

Explanation:

Average speed of the driving is given to be 60 miler per hour

The coordinate axis on the graph represents :

Graph (x , y) = (Time, Distance)

Now, The point is given to be (5, 300)

⇒ Time = 5 hours

Distance = 300 miles

So, Speed = 60 miles per hour which is the given average speed.

Hence, The given point represents that the Johnson family will travel 300 miles in 5 hours.

Therefore, The correct Option is A.

Answer 2

For this case we have the following data:

• Average speed: 60 miles per hour

• Graph
  `(x, y) = (time, distance)`

Given the point

`(time, distance) = (5,300)`

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:

`Speed =(Distance)/(Time)`

`Speed =(300miles)/(5 hours)`

`Speed = 60 miles per hour`

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

Answer:

Option A