Question

At 8 a.m., the temperature in Phoenix, Arizona, is 74°F. The Temperature increases 25% by 11 a.m. and another 20% by 2 p.m. What is the temperature at 2 p.m.? Round your answer to the nearest tenth of a degree Fahrenheit.

(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is 111.0 °F)

Answer 1

To find the temperature at 2 p.m., calculate the 25% increase from 74°F at 8 a.m. to get 92.5°F at 11 a.m. Then calculate the further 20% increase to find the temperature at 2 p.m. to be 111.0°F.

Step-by-step explanation:

The student asked how to calculate the temperature at 2 p.m. in Phoenix, Arizona, given that it starts at 74°F at 8 a.m., increases by 25% by 11 a.m., and then increases by another 20% by 2 p.m. To solve this, we need to first calculate the temperature increase by 25%. This is done by multiplying the starting temperature of 74°F by 25% (or 0.25).

Temperature at 11 a.m. = 74°F + (74°F × 0.25) = 74°F + 18.5°F = 92.5°F

Next, we calculate the additional 20% increase from 11 a.m. to 2 p.m. We multiply 92.5°F by 20% (or 0.20).

Temperature at 2 p.m. = 92.5°F + (92.5°F × 0.20) = 92.5°F + 18.5°F = 111.0°F

Therefore, the temperature at 2 p.m. in Phoenix, Arizona, is °F.

Answer 2

The final temperature is original temp + original temp * temp increase

74+74*0.25=92.5

(another increase)

92.5+92.5*0.2=111

Final: 111degrees