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?(1 point)%0D%0AResponses%0D%0A%0D%0A32%0D%0A32%0D%0A%0D%0A37%0D%0A37%0D%0A%0D%0A30%0D%0A30%0D%0A%0D%0A28

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?(1 point)%0D%0AResponses%0D%0A%0D%0A32%0D%0A32%0D%0A%0D%0A37%0D%0A37%0D%0A%0D%0A30%0D%0A30%0D%0A%0D%0A28

Answer 1

To solve for the number of people attending the birthday party, we need to set up the equation b(x)=550 where b(x) represents the total cost, $550, and x represents the number of people attending.

Substitute the given values into the equation:
550 = 100 + 15x

Now, we can solve for x:
450 = 15x
x = 30

Therefore, there were 30 people attending the birthday party besides Leslie and Steve.