On a bicycle, holly rides for 2 hours and is 22 miles from her house. After riding for 7 hours, she is 72 miles away. What is holly’ rate?

Answer 1

the slope is (72-22)/(7-2) = 50/5 = 10 miles per hour

she begins 2 miles from her house.

Answer 2

Her speed is a linear function of time

(2,22) and (7,72)

slope is (72-22)/(7-2) = 50/5 = 10

Using (2,22), B = y - mx = 22 - (10)2

= 22 - 20

= 2

x(t) = 10*t + 2

She begins 2 miles from her house and travels

10 mph