Question

Which situation can be represented by the inequality 15 + 6x ≤ 100? (7.10C)

A Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

B Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

C Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

D Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser

Answer 1

15 + 6x ≤ 100 satisfies condition A.

Explanation:

If the Lazer Zone charges $15 plus $6 per person, then the total charge for admission of x people will be (15 + 6x).

Now, if Andrea has a maximum of $100 to spend, then total charge for admission for x persons i.e. (15 + 6x) should be less than or equal to $100.

That means 15 + 6x ≤ 100.

therefore, this equation of inequality gives the number of people that Andrea can invite to play laser tag, hence, satisfies condition A. (Answer)