Question

Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Which equation describes this situation in slope-intercept form?

A) y = 25x + 100
B) y = 100x + 25
C) y = 25x - 100
D) y = 100x - 25

Answer 1

The correct equation describing the scenario where Rufus collects 100 pounds initially and then 25 pounds of aluminum cans each week is y = 25x + 100, which is in slope-intercept form with a slope of 25 and a y-intercept of 100.

Step-by-step explanation:

The student's question involves finding an equation that describes the amount of aluminum cans collected over time by Rufus. The given scenario specifies a starting point of 100 pounds of aluminum cans, and Rufus plans to collect an additional 25 pounds each week. The equation that represents this situation would have a y-intercept equal to the initial amount of aluminum cans collected, which is 100, and a slope equal to the number of pounds collected each week, which is 25. Therefore, the slope-intercept form equation would be y = 25x + 100, where y represents the total pounds of aluminum cans collected, and x represents the number of weeks.