Question

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Answer 1

Answer:

$5\ \frac{miles}{hour}$

Step-by-step explanation:

The complete question is

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours)   0.50   0.75  1.00

f(x) (Miles)  2.00   3.50  4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$a=0.75$

$b=1.00$

$f(a)=f(0.75)=3.50$  

$f(b)=f(1.00)=4.75$

Substitute

$\frac{4.75-3.50}{1-0.75}$

$\frac{1.25}{0.25}$

$5\ \frac{miles}{hour}$

Answer 2

Answer:5.00 miles per hour

Step-by-step explanation: