Question

what does the slope of the line tell you about the situation?
the balloons altitude increases 150 feet every minute.
the balloons altitude increases 100 feet every minute.
the balloons altitude is 400 feet after 2 minutes.
the balloons altitude is 700 feet after 4 minutes.

Explanation:

Step1: Recall slope formula

Slope \( m=\frac{\text{change in } y}{\text{change in } x} \). Here, \( y \) is altitude (feet), \( x \) is time (minutes).

Step2: Calculate slope using two points

Take points \((2, 400)\) and \((4, 700)\). Change in \( y = 700 - 400 = 300 \), change in \( x = 4 - 2 = 2 \). So \( m=\frac{300}{2}=150 \).

Step3: Interpret slope

Slope 150 means altitude (y) increases by 150 feet for each 1 - minute (x) increase.

Answer:

The balloon's altitude increases 150 feet every minute.