Question

A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.












A)
50 + 6.25x ≤ 100; x ≤ 8



B)
50 + 6.25x ≥ 100; x ≥ 8



C)
50 + 6.25x < 100; x < 8



D)
50 + 6.25x > 100; x > 8

Answer 1

I guess D?

Answer 2

let x = # of children

if x children go to the party, then you agree that it costs 6.25x dollars plus the $50 to rent the space

so the total cost, call it T for now, is T = 50+6.25x

Answer 3

"Gina wants to spend no more than $100 on her son's fourth birthday party."

so $100 is the max she'll go

what does that mean in terms of an inequality?

Answer 4

C?

Answer 5

why C?

Answer 6

I am not good at this so I just guesses but here is what I think.. I think C because 50 and 6.25x is bigger then 100 but if I add 50 with 6.25 it would make 56.25 witch is higher or less..

Answer 7

Is Gina allowed to go over $100?

Answer 8

She wants to spend no more then 100..

Answer 9

so $100 is the highest she can go

so that means the total cost T must be either less than $100 or at $100

this means

\[\Large T \le 100\]

Answer 10

previously, we found the total cost to be T = 50 + 6.25x

so,

\[\Large T \le 100\]

\[\Large 50+6.25x \le 100\]

after you plug in the expression for T

Answer 11

B?

Answer 12

@jim_thompson5910

Answer 13

No offense, but I'd appreciate if you did NOT just blindly guess

Answer 14

I practically gave you the answer anyway

Answer 15

I wasn`t guessing.. But thanks anyways...