What is the surface area of 286.5 inches squared scaled up by a factor of 10

28,650 in^2

Step-by-step explanation:

I assume the scaling up is of the linear dimensions.

Let's say you have a rectangle with length and width L and W.

The area of the rectangle is LW. We are told the area is 286.5 in^2.

Now we have

LW = 286.5 in^2

When you scale up the length and width by a factor of 10, both the length and width become 10 times greater.

The new length is now 10L.

The new width is now 10W.

The area of the new scaled up rectangle is

A = 10L * 10W = 100LW = 100(LW)

We were told LW = 286.5 in^2, so

the new area A = 100(286.5 in^2) = 28,650 in^2

Since the linear dimensions were scaled up by a factor of 10, the area increased by a factor of 10^2, or 100 times.

In general, when the linear dimensions are scaled up by a factor of k, the area increases by a factor of k^2.

where is the page?

step-by-step explanation:

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).