Certainly! Let's break down the problem step by step to determine which inequality represents Dan's purchase.
1. Understanding the Problem:
- Dan bought x pounds of potatoes.
- Each pound of potatoes costs \[tex]$0.85.
- Dan bought y pounds of grapes.
- Each pound of grapes costs \$[/tex]1.29.
- The total cost of Dan's purchase was less than \[tex]$5.
2. Calculating the Total Cost:
- The cost of x pounds of potatoes is given by \(0.85x\).
- The cost of y pounds of grapes is given by \(1.29y\).
- Therefore, the total cost of x pounds of potatoes and y pounds of grapes combined would be \(0.85x + 1.29y\).
3. Formulating the Inequality:
- According to the problem, the total cost was less than \$[/tex]5.
- So we set up the inequality:
[tex]\[
0.85x + 1.29y < 5
\][/tex]
Thus, the correct inequality representing Dan's purchase is:
[tex]\[
\boxed{0.85x + 1.29y < 5}
\][/tex]
None of the other options match this inequality, so we can conclude this is the correct one.
