6
AssignmentMultiple Select

Modeling with Two-Variable Linear Inequalities

Question 6 • GA-Algebra: Concepts and Connections CR

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 is1.10x + 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
A
(–1, 4)
B
(0, 2)
C
(3, 2.5)
D
(2, 4)
E
(0.5, 3.78)
F
(1.5, 3)

Explanation

A reasonable pair must have nonnegative pounds of broccoli, a whole number of soup cans, and a total cost below $10. For (0, 2), the cost is $1.10(0) + $2.50(2) = $5, so it works. For (1.5, 3), the cost is $1.10(1.5) + $2.50(3) = $9.15, so it also works. The other pairs either have a negative or fractional number of cans, or do not meet the cost limit.

AI-written and checked against the verified answer.

Previous
Next