Question

This equation shows how the total amount of paper Addison's office has recycled depends on the number of weeks since they started the new recycling plan.

p = w + 16
The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Addison's office to recycle a total of 19 kilograms of paper?

(?) weeks

Answer 1

To solve for the number of weeks it will take for Addison's office to recycle 19 kilograms of paper, we substitute the value for p in the equation p = w + 16 and solve for w. The solution is 3 weeks.

Step-by-step explanation:

The student is asked to solve for the variable w in the linear equation p = w + 16, where p represents the total kilograms of paper recycled, and w represents the number of weeks. They want to find out how many weeks it will take to recycle 19 kilograms of paper.

To find the value of w, we set p equal to 19 and solve for w:

• p = w + 16
• 19 = w + 16
• 19 - 16 = w
• 3 = w

Therefore, it will take 3 weeks for Addison's office to recycle a total of 19 kilograms of paper.