Question

1. a machinist measures the thickness of a grinding pad every week. the graph shows how many millimeters the grinding pad has worn down.

a. what is the slope of the line?
b. apply math models what does the slope mean?

Explanation:

Step1: Select two points on the line

Let's choose \((0,0)\) and \((6,30)\)

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute \(x_1 = 0,y_1=0,x_2 = 6,y_2 = 30\) into the formula:
\(m=\frac{30-0}{6 - 0}=\frac{30}{6}=5\)

Answer:

a. The slope of the line is \(5\)

b. The slope means that the thickness of the grinding pad wears down \(5\) millimeters per week.