Question

Rufus collected 100 pounds of aluminum cans to recycle your plans to collect an additional 25 pounds each week write the equation for the total pounds piece of aluminum cans after W weeks what does the slope and Y intercept represent how long will it take the first cut 400 pounds of cans

Answer 1

The equation for the total pounds of aluminum cans after W weeks is Total pounds = 100 + 25W. The slope represents the rate at which additional pounds of aluminum cans are collected each week, and the y-intercept represents the initial pounds of aluminum cans collected. It will take Rufus 12 weeks to collect 400 pounds of aluminum cans.

Step-by-step explanation:

The equation for the total pounds of aluminum cans after W weeks can be written as:

Total pounds = 100 + 25W

The slope of the equation is 25, which represents the rate at which Rufus is collecting additional pounds of aluminum cans each week. The y-intercept of the equation is 100, which represents the initial pounds of aluminum cans that Rufus collected.

To find out how long it will take for Rufus to collect 400 pounds of cans, we can substitute the total pounds as 400 in the equation:

400 = 100 + 25W

25W = 400 - 100

25W = 300

W = 300 / 25

W = 12

It will take Rufus 12 weeks to collect 400 pounds of aluminum cans.