Kerry wants to enlarge an old rectangular picture to make both the length and width 2 times as large as they were originally. if the area of her original picture is 24in2 what is the area of the enlargement?

The area of the new rectangular picture is = 96in2

Step-by-step explanation:

Kerry wants to enlarge an old rectangular picture to make both the length and width 2 times as large as they were originally. The area of the original picture is 24in2.

Length of the original rectangular picture × width of the original rectangular picture = 24in2

To make a new one that is 2 times the original one, it becomes

Let the area of the new rectangular picture be y.

Area of the original rectangular picture with Length,L and width,W becomes

L×W =24

LW=24

Area of the new rectangular picture with Length,2L and width,2W becomes

2L×2W = y

4LW = y

Substituting LW=24 into 4LW = y

24×4 = y

y= 96in2

- 1.613 = -1.6 or -1.61

-1.522 = -1.5 or -1.52

0.587 = 0.6 or 0.59

3.079 = 3.1 or 3.08

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).