Question

Name: Date: Writing Linear Equations from Word Problems (Page 2) 5) You are planning a class pool party and have reserved the pool for $625. It will cost an additional $11 per person for food. Write a linear equation to represent the total cost of the pool party based on the number of people that will attend. a) If 26 people end up coming to the pool party how much will it cost you?

Answer 1

Consider that the reservation costs $625. Moreover, it is necessary to pay additional $11 per person for food. If x is the number of people, it means that it is necessary to pay 11x dollars for x people.

THen, the total cost is $625 plus 11x dollars. If y is the cost of the class pool party, you have the following algebraic equation which expresses the given situation:

y = 11x + 625

If there are 26 people in the party, that is, if x = 26, the cost is:

y = 11(26) + 625

y = 286 + 625

y = 911

Hence, the cost is $911