Question

An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.

Answer 1

c=30p

$450

Explanation:

Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.

Writing the Equation

As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.

• This creates the equation C=30p

Solving the Equation

To solve the equation for 15 people, plug 15 in for p.

• C=30(15)

Then, multiply out to solve

• C=$450