Interpret the following linear function model with the given context. Leslie wants to throw a birthday party at their local bowling alley. The space is $100 to rent with an additional charge of $15 per person attending. This scenario of total cost is modeled by the linear function b(x)=100+15x. Leslie gets a bill of $550 at the end of the evening. In addition to Leslie and Steve, how many other people attended this birthday party?

Question

Interpret the following linear function model with the given context. Leslie wants to throw a birthday party at their local bowling alley. The space is $100 to rent with an additional charge of $15 per person attending. This scenario of total cost is modeled by the linear function b(x)=100+15x. Leslie gets a bill of $550 at the end of the evening. In addition to Leslie and Steve, how many other people attended this birthday party?

Answer 1

In this linear function model, b(x) represents the total cost of the birthday party where x is the number of people attending. The fixed cost of renting the space is $100, and there is an additional charge of $15 per person.

Given that Leslie received a bill of $550 at the end of the evening, we can set up the equation:

550 = 100 + 15x

Subtracting 100 from both sides, we get:

450 = 15x

Dividing both sides by 15:

x = 30

So, a total of 30 people attended the birthday party, including Leslie and Steve.