Question

what does the slope of the line tell you about the situation? jade gained 100 pounds every month. jade gained 200 pounds every month. jade gained 100 pounds every 3 months. jade gained 200 pounds every 3 months.

Explanation:

Step1: Identify two points on the line

From the graph, when \( x = 0 \) (age = 0 months), \( y = 200 \) pounds. When \( x = 3 \) (age = 3 months), \( y = 300 \) pounds.

Step2: Calculate the slope

The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Substituting the points \((0, 200)\) and \((3, 300)\), we get \( m=\frac{300 - 200}{3 - 0}=\frac{100}{3}\approx33.33\) pounds per month. But looking at the change over 3 months, the weight change is \( 300 - 200 = 100 \) pounds. So the slope represents a gain of 100 pounds every 3 months.

Answer:

Jade gained 100 pounds every 3 months.