Question

Ralph collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25pounds each week. Write an equation in slope-intercept form for the total of pounds, y, ofaluminum cans after x weeks. How long will it take Ralph to collect 400 pounds?

Answer 1

slope intercept form:

y= mx+b

Where:

m= slope

b= y-intercept

total pounds: y

number of weeks: x

the total number of pounds must be equal to the pounds already collected (100) plus the product of the number of weeks (x) and the number of pounds collected per week (25)

y= 100+25x

To collect 400 pounds, replace y by 400 and solve for x ( weeks)

400 = 100+25x

400-100= 25x

300=25x

300/25 = x

12 = x

12 weeks to collect 400 pounds