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.