It is C. I did the Math.
Hope I helped!
Answer:

Step-by-step explanation:
Let
n ----> represent the number of tickets purchased
y ---> the total cost for a visit to the carnival in dollars
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The unit rate or slope is equal to

The y-intercept is equal to the cost for enter (value of y when the value of x is equal to zero)

substitute

For n=20 tickets
substitute the value of n and solve for y


Let us draw a picture to make the things more clear.
Attached is the image.
We have been given that

Therefore, we have

Now, in triangle bcd, we have

Now, in triangle acb, we have

Thus, ad is 15 cm.