Answered

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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
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Sagot :

Answer:

Step-by-step explanation:

1. **Identify the costs:**

  - Dan bought  x  pounds of potatoes at $0.85 per pound.

  - Dan bought  y  pounds of grapes at $1.29 per pound.

2. **Calculate the total cost:**

  - The cost of the potatoes is  0.85 times x .

  - The cost of the grapes is 1.29 times y .

  - Therefore, the total cost is 0.85x + 1.29y .

3. **Determine the condition:**

  - The total cost is less than $5.

  - This can be expressed as 0.85x + 1.29y < 5 .

4. **Construct the inequality:**

  - The inequality representing the total cost being less than $5 is:

    0.85x + 1.29y < 5

So, the correct inequality that represents Dan's purchase is:

0.85x + 1.29y < 5

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