Question

Jimmy collected 100 pounds of aluminum cans to recycle.He plans to collect an additional 35 pounds each day. Write the equation for the total pounds,P, of aluminum cans after w weeks. What does the slope and y-intercept represent? How long will it take Rufus to collect 1000 pounds of cans?

Answer 1

Because there are 7 days in a week we will multiply 7 x 35. (245)

P = 245w + 100
(y = 245x + 100)

slope represents amount of pounds per week jimmy collects.
y-intercept represents the amount of pounds jimmy collected at the start.

To find out how long it will take Jimmy/Rufus to collect 1000 pounds, we will set up the equation:
1000 = 245x + 100
900 = 245x
x = 3.673

It will take him a little under four weeks to collect 1000 pounds.