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A carnival costs $10.50 to enter plus an additional $3.50 per ticket for rides and food.

Write an algebraic expression to represent the total cost for a visit to the carnival. Let n represent the number of tickets purchased.
​​What is the total cost to visit the fair if you purchase 20 tickets? Explain your reasoning.

User Weberik
by
7.3k points

1 Answer

6 votes

Answer:


\$80.50

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


y=m(n)+b

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


m=\$3.50\ per\ ticket

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


b=\$10.50

substitute


y=3.50(n)+10.50

For n=20 tickets

substitute the value of n and solve for y


y=3.50(20)+10.50


y=\$80.50

User Angelo Fuchs
by
7.8k points

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