Question

1. Tamar collected 16.9 pounds of cans to recycle and plans to collect 2 more pounds each week. Write an equation in slope-intercept form where a represents the number of weeks Tamar has been recycling cans, and Y represents the total amount recycled.​

Answer 1

The equation in slope-intercept form is Y = 2a + 16.9, where Y represents the total amount recycled and a represents the number of weeks Tamar has been recycling cans.

Step-by-step explanation:

The equation in slope-intercept form can be written as follows:

Y = mx + b

In this equation:

• Y represents the total amount recycled
• m represents the slope
• x represents the number of weeks Tamar has been recycling cans
• b represents the y-intercept

In this case, since Tamar plans to collect 2 more pounds each week, the slope (m) is 2. The y-intercept (b) can be determined by observing the initial amount collected, which is 16.9 pounds. Therefore, the equation in slope-intercept form is:

Y = 2a + 16.9