Answer:
Slope represents that the weight of can increased by 25 pounds each week. Y-intercept represents initial weight of cans, i.e., 100 pounds.
The time taken by Rufus to collect 400 pounds of aluminum cans is 12 weeks.
Step-by-step explanation:
It is given that Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect and additional 25 pounds each week.
It means initial weight of cans = 100 pounds
Additional weight of cans = 25 pounds each week
Let W be the number of week.
The equation for the total pounds P of aluminum cans after W weeks is
.... (1)
The slope intercept form of a line is
.... (2)
where, m is slope and b is y-intercept.
From (1) and (2) we get
It means slope and y-intercept are 25 and 100 respectively.
Slope represents that the weight of can increased by 25 pounds each week. Y-intercept represents initial weight of cans, i.e., 100 pounds.
We need to find the time taken by Rufus to collect 400 pounds of aluminum cans.
Substitute P =400 in equation (1).
Subtract 100 from both sides.
Divide both sides by 25.
Therefore, the time taken by Rufus to collect 400 pounds of aluminum cans is 12 weeks.
