The temperature was 54 at 7:00 a. m. At 3:00 p. m. on the same day, the temperature was 82. What is the rate of change in temperature during this time?

The rate of change was 3.5 degrees / h.

Step-by-step explanation:

In order to calculate the rate of change we need to divide the variation of temperature by the variation of time. Since the time is given to us in a 12 h format (am/pm), we first need to convert it to 24 h. To do that we sum the time that is "pm" by 12, we have:

time2 = 3 + 12 = 15

Therefore the rate of change in temperature is:

rate = variation of temp / variation of time

rate = (temp final - temp init) / (time final - time init)

rate = (82 - 54) / (15 - 7) = 28 / 8 = 3.5 degrees / h

The rate of change was 3.5 degrees / h.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.