Question

On a bicycle, Stacy rides for 8 hours and is 74 miles from her house. After riding for 10 hours, she is 92 miles away. What is Stacy's rate over the last 2 hours?

Answer 1

Answer:

Stacy's rate is 18 miles over the last 2 hours

Step-by-step explanation:

On a bicycle, Stacy rides for 8 hours and is 74 miles from her house. After riding for 10 hours, she is 92 miles away

Let x be the number of hours and y be the number of miles

Stacy rides for 8 hours and is 74 miles , (8,74)

riding for 10 hours, she is 92 miles away (10,92)

To find the rate per hour we find slope

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{92-74}{10-8} =\frac{18}{2}$

slope 18 divide by 2 represents 18 miles for every two hours

so Stacy's rate is 18 miles over the last 2 hours