Question

On a particular day at 5 a.m., the temperature was 24°F for Raleigh, North Carolina, St. Paul, Minnesota, Denver, Colorado, and Derry, New Hampshire.

By noon, Raleigh's temperature increased by 125%. Between noon and 4 p.m. the temperature increased by 40%.

By noon, St. Paul's temperature decreased by . Between noon and 4 p.m. the temperature increased by .

By noon, Denver's temperature increased by 115%. Between noon and 4 p.m. the temperature decreased by 20%.

By noon, Derry's temperature decreased by . Between noon and 4 p.m. the temperature decreased by .

Place the cities in order from the lowest temperature to the highest temperature at 4 p.m.

Answer 1

I say D because St. Paul’s temperature definitely decreased

Answer 2

Derry < St. Paul < Denver < Raleigh

Explanation:

At noon, Raleigh's temperature increased by 125%.

24 F x 125% = 24 F x 1.25 = 30 F

24 F + 30 F = 54 F

At 4 p.m. the temperature increased by 40%.

54 F x 40% = 54 F x 0.4 = 21.6

54 F + 21.6 F = 75.6 F

Raleigh's temperature at 4 p.m. was 75.6°F.

At noon, St. Paul's temperature decreased by 3/4.

24 F x 3/4 = 18 F

24 F - 18 F = 6 F

At 4 p.m. the temperature increased by 1/6.

6 F x 1/6 = 1 F

6 F + 1 F = 7 F

St. Paul's temperature at 4 p.m. was 7°F.

At noon, Denver's temperature increased by 115%.

24 F x 115% = 24 F x 1.15 = 27.6 F

24 F + 27.6 F = 51.6 F

At 4 p.m. the temperature decreased by 20%.

51.6 F x 20% = 51.6 F x 0.2 = 10.32 F

51.6 F - 10.32 F = 41.28 F

Denver's temperature at 4 p.m. was 41.28°F.

At noon, Derry's temperature decreased by 1/6.

24 F x 1/6 = 4 F

24 F - 4 F = 20 F

At 4 p.m. the temperature decreased by 4/5.

20 F x 4/5 = 16 F

20 F - 16 F = 4F

Derry's temperature at 4 p.m. was 4°F.

So, the order of the states with the lowest temperature to the highest temperature at 4 p.m. gives the following.

Derry < St. Paul < Denver < Raleigh