Question

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)

Answer 1

Answer:

0,2  1.5,3

Step-by-step explanation:

Answer 2

Answer:

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)