Question

dan bought ( x ) pounds of potatoes for $0.85 per pound and ( y ) pounds of grapes for $1.29 per pound. the total cost was less than $5. which inequality represents his purchase?
( 1.29x + 0.85y > 5 )
( 0.85x + 1.29y > 5 )
( 1.29x + 0.85y < 5 )
( 0.85x + 1.29y < 5 )

Explanation:

Step1: Calculate cost of potatoes

Cost of potatoes: $0.85 per pound, \( x \) pounds, so \( 0.85x \) dollars.

Step2: Calculate cost of grapes

Cost of grapes: $1.29 per pound, \( y \) pounds, so \( 1.29y \) dollars.

Step3: Total cost and inequality

Total cost = \( 0.85x + 1.29y \), total cost < 5, so \( 0.85x + 1.29y < 5 \).

Answer:

\( 0.85x + 1.29y < 5 \) (the fourth option: \( 0.85x + 1.29y < 5 \))