Mrs. Brown's class will earn 30 minutes of recess.
Let the number be x, then
1/5 * x = 2/3 * 90
1/5 x = 60
x = 60 * 5 = 300 (answer)
Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:
(1, 1200), (2, 2400)
We can find the slope of these two points by plugging them into the slope formula:

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

Subtract:

Divide:

This is the slope, so we can write the equation:
In the smaller triangle, let
be the length of the smallest leg. Then the smallest leg in the larger triangle is
.
Within the scope of the smaller triangle, we have
such that

Then within the larger the triangle, we would have

Now we can solve for
:


Hey!
First, let's write the problem.

Multiply

with

.

Subtract

from both sides.


Divide both sides by

.


Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish