Question

This summer Paige’s town will be hosting a series of 9 concerts. There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200. If x and y represent the number of tickets Paige purchased for the 2 types of seats, which system of inequalities could Paige use to model this situation?

Answer 1

Answer:

d) x ≥0

y ≥ 0

x + y ≥ 5

29.5x + 43y ≤ 200

Step-by-step explanation:

If x and y represent the number of tickets Paige purchased for the 2 types of seats.

Paige would like to attend at least 5 concerts.

This means, Paige would like to attend 5 or more concerts

Hence, the Inequality =

x ≥0

y ≥ 0

x + y ≥ 5

Also, we are told in the question that:

There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to spend no more than $200.

This means Paige was to spend less than or equal to $200

Therefore, the Inequality equation is:

29.5x + 43y ≤ 200

Therefore, the system of inequalities could Paige use to model this situation is option D

x ≥0

y ≥ 0

x + y ≥ 5

29.5x + 43y ≤ 200