A circular trampoline has a padded rope that goes aroumd the outside of the frame. The rope is sold for $2.75 per foot and costs $104.50 before tax this trampoline. What is the diameter of the trampoline, to the nearest foot?

The diameter is 12ft.

Step-by-step explanation:

The length of the rope will be equal to the perimeter of the trampoline.

We know that the trampoline is circular, so the perimeter of a circle can be written as

P = 2*pi*r

where r is the radius, and pi = 3.14...

Then we now should find the perimeter.

if 1ft of rope costs $2.75

now, how many times we can fit $2.75 in $104.50?

We look at the quotient

$104.50/$2.75 = 38

So 38 times, this means that the full rope is 38 times 1 ft, or 38 ft long.

Then the perimeter of the circle is 38ft.

P = 38ft = 2*3.14*r

Now we can find the value of the radius:

r = 38ft/(2*3.14) = 6.05 ft

Now, we want to find the diameter, and we know that the diameter is two times the radius, then:

d = 2*r = 2*(6.05ft) = 12.1 ft.

But we want this to the nearest foot, so we should round it down to 12ft.

The diameter is 12ft.