A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume? What would the inequality look like

300cal ≤ y ≤ 1200 cal

Step-by-step explanation:

Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.

"if you eat no fewer than 2 cookies..."

This is written as:

2 ≤ x

This means that x can be equal to 2, or larger than 2.

"...and no more than 8 cookies"

This is written as:

x ≤ 8

This means that x can be smaller than 8 or equal to 8.

If we combine those two, we have:

2 ≤ x ≤ 8

And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:

2*150 cal  ≤ y ≤ 8*150 cal

300cal ≤ y ≤ 1200 cal.