Question

1. modeling with mathematics a weather forecaster predicts that the temperature in antarctica will decrease 8°f each hour for the next 6 hours. write and solve an inequality to determine how many hours it will take for the temperature to drop at least 36°f.

Explanation:

Step1: Set up the inequality

Let $h$ be the number of hours. The temperature drops $8^{\circ}F$ per hour, so the total temperature drop is $8h$. We want the temperature to drop at least $36^{\circ}F$, so the inequality is $8h\geq36$.

Step2: Solve the inequality

Divide both sides of the inequality $8h\geq36$ by 8. We get $h\geq\frac{36}{8}=\frac{9}{2} = 4.5$.

Answer:

$h\geq4.5$