Math

QuestionJannah has 38.8 lbs of cans and collects 1.7 lbs/week. Write the equation y=mx+by = mx + b for her recycling progress.

Studdy Solution

STEP 1

Assumptions1. The initial amount of cans collected is38.8 pounds. The rate of collection is1.7 pounds per week3. x represents the number of weeks Jannah has been recycling cans4. y represents the total amount of cans recycled

STEP 2

The slope-intercept form of an equation is given by y=mx+by = mx + b, where mm is the slope of the line (rate of change) and bb is the y-intercept (initial value).

STEP 3

In this problem, the rate of change is the amount of cans Jannah collects each week, which is1.7 pounds. This is our slope (m).
m=1.7m =1.7

STEP 4

The initial value is the amount of cans Jannah initially collected, which is38.8 pounds. This is our y-intercept (b).
b=38.8b =38.8

STEP 5

Substitute the values of m and b into the slope-intercept form of the equation.
y=1.7x+38.8y =1.7x +38.8This is the equation in slope-intercept form that represents the total amount of cans Jannah has recycled after x weeks.

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