Question

question 1 of 10
the temperature is 45°f. the temperature will decrease by 2°f each hour. let
h be the number of hours.
when will the temperature be below 32°f?
write an inequality for this problem.
a. 45 - 2h < 32
b. 45 + 2h < 32
c. 45 + 2h ≤ 32
d. 45 - 2h ≤ 32

Explanation:

Step1: Analyze temperature change

Initial temp is \( 45^\circ\text{F} \), decreases by \( 2^\circ\text{F} \) per hour. So after \( h \) hours, temp is \( 45 - 2h \).

Step2: Set inequality for "below \( 32^\circ\text{F} \)"

"Below" means less than, so \( 45 - 2h < 32 \).

Answer:

A. \( 45 - 2h < 32 \)