Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. in total, she spent less than $10. the inequality relating the purchases she made and the total purchase price is
1.10x + 2.50y < 10. which are reasonable solutions for this situation? check all that apply.
(–1, 4)
(0, 2)
(3, 2.5)
(2, 4)
(0.5, 3.78)
(1.5, 3)

The reasonable solutions for this situation are the points (0,2) and (1.5,3)

Step-by-step explanation:

See the attached figure.

The inequality relating the purchases she made and the total purchase price is  ⇒ 1.10x + 2.50y < 10

As shown in the attached figure the shaded area represent the solution of the given inequality

All the points except the point (2,4) is a solution for the inequality.

But we need to find the reasonable solutions. So, we should keep in mind the following:

1) x pounds of broccoli must be greater than zero, there is no meaning to be negative.

2) y cans of soup must be integer value.

According to the previous two conditions, the reasonable solutions for this situation are the points (0 , 2) and (1.5 , 3)