Question

Angelique is buying towels for her apartment. She finds some green towels, x, that cost $7 each and blue towels, y, that cost $9 each. She wants to buy at least 5 towels, but does not want to spend more than $60. How many of each towel can she purchase? Enter the system of inequalities that represents the situation. Then select the graph of the system and Select one possible solution.

Answer 1

Step-by-step explanation:

x is the number of green towels and y is the number of blue towers.

If she wants to buy at least 5 towels, the inequality that represents the situation is:

x + y ≥ 5

On the other hand, she doesn't want to spend more than $60, so

7x + 9y ≤ 60

Because 7x is the total cost of the green towels and 9y is the total cost of the blue towels.

Now, the graph that represents the system of inequalities is graph A. because the red region is the region above the line x + y = 5 and the second region is the region below the line 7x + 9y = 60.

Finally, we need to select a point that belongs to the purple region. So, Angelique could buy 3 and 4 green and blue towels respectively.

Answer:

The system of inequalities is x + y ≥ 5 and 7x + 9y ≤ 60

Graph A

Angelique could buy 3 and 4 green and blue towels respectively.