Answer :
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.
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.
