A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(r) relates the area of the cardboard piece, in square inches, to the radius r in inches. Which of the following shows a reasonable domain for f(r)?
7 < r < 14 154 < r < 616 all positive integers less than 7 all positive integers between 14 and 154
So the domain is all the values of r that satisfy the conditions. So the smallest r has to give an area no less than 154 sq in. And the largest r has to give an area no more than 616 sq in. Does that help?
So the answer cant be B
No, that would be the domain of a function that uses area as its x. This function uses r. o you have to find the values of r that satisfy those conditions.
Okay, but that still means that the answer can not be B right? I am starting with the process of elimination. Am I wrong that the answer isn't B?
No, you're not wrong, the answer can't be B.
Thats what I am saying! The answer can NOT be B.
And the answer can't be D either right?
Nope, can't be D either. If the domain was an integer over 14, that would make the largest possible circle too big.
So the answer is A right?
Yep. Good job!
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