The temperature in a town increased 16 fahrenheit in 5 hours. the temperature decreases 31 fahrenheit in the next 8 hours. which expressions shows the rate of the total change in temperature? a. -15 hours 13 hours b. 47 f 13 hours c. 15 f 10 min d. 47 f -13 hours

Correct answer is: A)

Solution:-

Given that temperature of town increased 16 Fahrenheit in 5 hours and decreases 31 Fahrenheit in the next 8 hours.

If we assume T as temperature, it became T+16 in 5 hours and (T+16-31) in next 8 hours.

That is change in temperature in (5+8) hours is 16-31 = -15 Fahrenheit.

Rate of total change in temperature =

                                                            =

Hence rate of total change in temperature is

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).