Challenge. I need to know the steps.

Question

Jeff is keeping track of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6 weeks, he weighs 186 pounds.

Define your variables and derive an equation to represent the situation.

Find Jeff's weight after 12 weeks.

Answer 1

To solve this problem, we need to find the average rate of change or slope of the equation.

To do this, we will use the equation m = (y1 - y2) / (x1 - x2)

2 weeks, 194 pounds

6 weeks, 186 pounds

(186 - 194) / (6 - 2) = -8/4 = -2

so, Jeff loses 2 pounds each week

Next, we will use this rate of change to find his weight after 12 weeks.

(12 weeks - 2 weeks) * -2 = 10 * -2 = -20 pounds

186 pounds - 20 pounds = 166 pounds

Jeff weighed 166 pounds after 12 weeks.