Question

solve the problem 17. maria records her distance from home over time. the values are shown in the table below. find her average speed over the first 4 hours.
t (hours) | d(t) (miles)
0 | 0
1 | 60
2 | 110
3 | 180
4 | 220
5 | 360
6 | 420
7 | 600

Explanation:

Step1: Recall the formula for average speed

The formula for average speed is $\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}$.

Step2: Identify total distance and total time for the first 4 hours

From the table, at $t = 0$ hours, $D(t)=0$ miles, and at $t = 4$ hours, $D(t)=220$ miles. So the total distance traveled in 4 hours is $220 - 0 = 220$ miles, and the total time is $4 - 0 = 4$ hours.

Step3: Calculate the average speed

Using the formula, $\text{Average Speed} = \frac{220}{4} = 55$ miles per hour.

Answer:

55 miles per hour