Question

Question 2*

2 points
A family is traveling from their home to a vacation resort hotel. The table below shows their distance from home as a function of
time.
Time (hrs)
0
2.
5
7
Distance (mi)0
140
375
480
Determine the average rate of change between hour 2 and hour 7, including units.

Answer 1

The average rate of change between hour 2 and hour 7 is 68 miles per hour.

Step-by-step explanation:

The average rate of change between hour 2 and hour 7 can be found by calculating the change in distance and change in time.

First, we calculate the change in distance: 480 miles - 140 miles = 340 miles.

Next, we calculate the change in time: 7 hours - 2 hours = 5 hours.

Finally, we divide the change in distance by the change in time to find the average rate of change: 340 miles / 5 hours = 68 miles per hour.

Therefore, the average rate of change between hour 2 and hour 7 is 68 miles per hour.

Answer 2

The average rate of change between these times is 68 miles per hour

Step-by-step explanation:

Here, we are to determine the average rate of change between hour 2 and hour 7

The distance traveled at hour 2 is 140 miles

The distance traveled at hour 7 is 480 miles

So we can say we have two points and we want to know the rate of change between these points

Mathematically, we can represent the rate of change as Δ

Thus, between the two different times, we have;

Δ = (D7-D2)/(T7-T2)

where (T7,D7) = (7,480) and (T2,D2) = (2,140) represents the time and distance at hour 2 and hour 7 respectively

Now inputing the values into the equation, we have;

Δ = (480-140)/(7-2) = 340/5 = 68 miles/hour