Respuesta :
Answer:
Option: B is the correct answer.
B)13x+35<=175; 10 people
Step-by-step explanation:
Let x people could be invited to the party such that it stay under his budget.
This means that cost of x people will be: $ 13x
Also, the party room cost: $ 35
This means that:
35+13x≤175.
( Since it was given that: His budget should be under $ 175 )
Now on subtracting both side of the inequality by 35 we get:
13x≤175-35
⇒ 13x ≤ 140
⇒ x ≤ 10.7692
As the number of people will be in whole.
Hence, x=10 people.
Hence, option: B is the answer.
Answer:
Option B - [tex]35+13x\leq 175[/tex] ; 10 people
Step-by-step explanation:
Given : Morgan is arranging a bowling party for his friends.
To find : What is the maximum number of people that Morgan can invite to stay under his budget of $175 identify the inequality to solve and the maximum number of people ?
Solution :
Let the number of people could be invited to the party be 'x'.
The bowling alley also charges $13 for each person who attends the party.
The cost of x people will be $13x.
The party room at the bowling alley is $35.
The maximum number of people that Morgan can invite to stay under his budget of $175.
The inequality form is
[tex]35+13x\leq 175[/tex]
Solving the inequality,
[tex]13x\leq 175-35[/tex]
[tex]13x\leq 140[/tex]
[tex]x\leq \frac{140}{13}[/tex]
[tex]x\leq 10.769[/tex]
The required number of people will be 10.
Therefore, option B is correct.
