Question

The graph below shows the change in temperature in Troy, NY.

•On average, how many degrees per hour did the temperature change between 3am and 9am?

•On average, how many degrees per hour did the temperature change between 9pm and 3am?

Answer 1

Average 3am - 9am:
`(5)/(6)`

Average 9pm - 3am:
`(1)/(2)`

Explanation:

Average Rate of Change:
`(f(b)-f(a))/(b-a)`

Step 1: Define coordinates

3am - 9am; (3, -3) and (9, 2)

9pm - 3am; (9, 0) and (3, -3)

Step 2: Find rate of change

`(2-(-3))/(9-3)=(2+3)/(6) =(5)/(6)`

`(-3-0)/(3-9)=(-3)/(-6) =(1)/(2)`