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Julia has [tex]$5.00[/tex] to spend on lemons. Lemons cost [tex]$0.59[/tex] each, and there is no tax on the purchase. Which of the following inequalities can be used to represent [tex]n[/tex], the number of lemons Julia can buy?

A. [tex]0.59n \leq 5.00[/tex]
B. [tex]0.59n \geq 5.00[/tex]
C. [tex]5.00 \leq 0.59n[/tex]
D. [tex]5.00 \geq 0.59n[/tex]

Answer :

Final answer:

The inequality 0.59 * ≁ ≤ 5 can be used to represent the number of lemons Julia can buy given she has $5 and each lemon costs $0.59.

Explanation:

To represent the number of lemons Julia can buy with her budget, you can set up an inequality. Let ≁ represent the number of lemons Julia can buy.

Since each lemon costs $0.59, and Julia has $5.00 to spend, you can use the following inequality:

≁ * $0.59 ≤ $5.00

This inequality states that the total cost of the lemons (the number of lemons she buys, ≁, multiplied by the cost of each lemon, $0.59) should be less than or equal to her budget of $5.00.

Now, let's simplify this inequality:

0.59≁ ≤ 5.00

To find ≁, divide both sides by 0.59:

≁ ≤ 5.00 / 0.59

≁ ≤ 8.47 (rounded to two decimal places)

So, Julia can buy up to 8 lemons without exceeding her budget of $5.00. To ensure she doesn't exceed her budget, she can buy 8 lemons at a total cost of $4.72. Therefore, the inequality that represents the number of lemons Julia can buy is ≁ ≤ 8.47.

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Final answer:

The inequality that can be used to represent the number of lemons Julia can buy is x ≤ 8.47.

Explanation:

To represent the number of lemons Julia can buy, we can set up the following inequality:

0.59x ≤ 5.00

Here, 'x' represents the number of lemons Julia can buy. The left side of the inequality, 0.59x, represents the total cost of the lemons. The right side of the inequality, 5.00, represents Julia's budget.

To find the maximum number of lemons Julia can buy, we need to solve the inequality for 'x'. We can do this by dividing both sides of the inequality by 0.59:

x ≤ 5.00 ÷ 0.59

Simplifying the right side of the inequality gives us:

x ≤ 8.47

Therefore, the inequality that represents the number of lemons Julia can buy is:

x ≤ 8.47

Learn more about inequalities here:

https://brainly.com/question/20383699

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