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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?
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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
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Mathematics
5 years
2021-09-03T18:51:43+00:00
2021-09-03T18:51:43+00:00 1 Answers
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Answer: 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.