Use an equality

One side of a rectangle is 12 inches and the other is x. What value of x will make the perimeter at most 44 inches.

if the formula P-0.5643y - 1092.57 can be used to predict average price of a theater ticket after 1945. For what years will the average ticket price be atleast $47.00 = y is the actual year?

Perimeter = 2(length+width)

If length=12 inches, width=x inches,
then
Perimeter = 2(12+x)
For perimeter≤44 inches,
we substitute perimeter by its expression
2(12+x) ≤44

To solve this problem, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

Since one side of the rectangle is 12 inches and the other side is x, the perimeter of the rectangle can be represented as:
Perimeter = 2 * (12 + x)

The problem states that the perimeter should be at most 44 inches. So we can set up an inequality to represent this condition:
2 * (12 + x) ≤ 44

Now, let's solve this inequality to find the maximum value of x that satisfies the condition.

Step 1: Distribute the 2 to both terms inside the parentheses:
24 + 2x ≤ 44

Step 2: Subtract 24 from both sides of the inequality to isolate 2x:
2x ≤ 44 - 24
2x ≤ 20

Step 3: Divide both sides of the inequality by 2 to solve for x:
x ≤ 20/2
x ≤ 10

Therefore, the value of x that will make the perimeter at most 44 inches is any value less than or equal to 10 inches.