Question

The environment club has saved 200 pounds of cans and promises to collect 20 pounds of cans each week and will use the profits to buy additional recycling bins. Create a linear model for their collection program. What is the slope, m, for this model?

Answer 1

20

Explanation:

Since they are collecting 20 pounds of cans each week, the slope is 20/1, or 20.

Hope this helps!

Answer 2

The slope would be 20.

Explanation:

Given,

The quantity of saved can = 200 pounds,

The additional quantity of cans per week = 20 pounds,

So, the additional quantity of cans for x weeks = 20x pounds,

Thus, the total quantity = Additional quantity + Saved quantity = ( 20x + 200 ) pounds,

Let y represents the total collection ( in pounds ) of cans after x weeks,

⇒ y = 20x + 200

Which is the required linear model,

Since, the linear equation is y = mx + c

Where, m is the slope,

By comparing,

m = 20

Hence, the slope for the above model is 20.