Explain the terms of the expression in the context of the area of the region.

Question

The expression (4x²+6x)in.² represents the area of a rectangular region whose width is 2x in. 

Answer 1

Length=area/width=(4x^2+6x)/2x=2x(2x+3)/2x=2x+3 because 2x cancels. Length 2x+3 is also in inches.

Comments

Hello again, can you help me with this one...

Your history class is running a bake sale in the school's cafeteria. Each bag of cookies costs $3. You have 150 bags of cookies to sell. The function R(c)=3c represents the amount of money you can make selling bags of cookies, where c is the number of bags of cookies. What is the domain and range of R(c) in this context?

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The domain is the number of bags of cookies, which we know goes up to 150. So the domain is 0 to 150. We can't have c less than zero (less than no bags) and we can't have more than 150, because that's all we've got.

The range is the amount of money from the sale of cookies. So that will be $0 to $450, because each bag costs $3. So the most money is $450 and the range is 0 to 450 dollars. Or you could say the range is $450 being the difference between the highest and lowest value.