Question

a meteorologist tracks how the temperature changes in a city over 2 hours. the table shows how much the temperature changed each hour. if the temperature at 5:00 p.m. was 19°c, what was the temperature at 3:00 p.m.? time 3:00 p.m. to 4:00 p.m. 4:00 p.m. to 5:00 p.m. change in temperature 3°c -1°c

Explanation:

Step1: Find temperature at 4:00 p.m.

We know from 4:00 p.m. - 5:00 p.m. the temperature change is - 1°C and at 5:00 p.m. it is 19°C. Let the temperature at 4:00 p.m. be $T_{4}$. Then $T_{4}-1 = 19$, so $T_{4}=19 + 1=20$°C.

Step2: Find temperature at 3:00 p.m.

We know from 3:00 p.m. - 4:00 p.m. the temperature change is 3°C. Let the temperature at 3:00 p.m. be $T_{3}$. Then $T_{3}+3=T_{4}$. Since $T_{4} = 20$°C, then $T_{3}=20 - 3=17$°C.

Answer:

17°C