At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50\degree50°50, degree Celsius. This causes the cake to cool and the temperature difference loses \dfrac15
5
1

start fraction, 1, divided by, 5, end fraction of its value every minute.
Write a function that gives the temperature difference in degrees Celsius, D(t)D(t)D, left parenthesis, t, right parenthesis, ttt minutes after the cake was put in the cooler.

Step-by-step explanation:

The correct question is

At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50 degree Celsius. This causes the cake to cool and the temperature difference loses 1/5 of its value every minute.

Write a function that gives the temperature difference in degrees Celsius, D(t), t minutes after the cake was put in the cooler

we know that

The equation of a exponential decay function is equal to

where

D(t) is the temperature difference in degrees

t is the number of minutes

r is the rate of change

a is the initial value

we have

substitute

345

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,