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Julia has
$5.00 to spend on lemons. Lemons cost
$0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent
x, the number of lemons Julia can buy?
Choose 1 answer:
(A)
(x)/( 0.59) >= 5
(B)
(x)/( 0.59) <= 5
(c)
0.59 x >= 5
(D)
0.59 x <= 5

Julia has $\$ 5.00$ to spend on lemons. Lemons cost $\$ 0.59$ each, and there is no tax on the purchase. Which of the following inequalities can be used to represent $x$ , the number of lemons Julia can buy? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{x}{0.59} \geq 5$ $\newline$ (B) $\frac{x}{0.59} \leq 5$ $\newline$ (c) $0.59 x \geq 5$ $\newline$ (D) $0.59 x \leq 5$

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Full solution

Q. Julia has

\$ 5.00

to spend on lemons. Lemons cost

\$ 0.59

each, and there is no tax on the purchase. Which of the following inequalities can be used to represent

x

, the number of lemons Julia can buy?

\newline

Choose

1

answer:

\newline

(A)

\frac{x}{0.59} \geq 5

\newline

(B)

\frac{x}{0.59} \leq 5

\newline

(c)

0.59 x \geq 5

\newline

(D)

0.59 x \leq 5

Calculate Lemon Cost: Julia has $\$5.00$ to spend on lemons, and each lemon costs $\$0.59$ . We need to find an inequality that represents the maximum number of lemons, $x$ , that Julia can buy with her $\$5.00$ .
Divide Total by Cost: To find the maximum number of lemons Julia can buy, we need to divide the total amount of money she has by the cost of one lemon. This will give us the inequality that represents the number of lemons she can buy.
Form Inequality: The inequality will be of the form $0.59x \leq 5$ , where $x$ is the number of lemons. This is because the total cost of the lemons ( $0.59$ times the number of lemons) must be less than or equal to the amount of money Julia has ($\$\(5\).\(00\)).
Check Given Options: Now, we check the options given to see which one matches our inequality:\(\newline\)(A) \((x)/(0.59) \geq 5\) is incorrect because it suggests that the number of lemons divided by the cost per lemon should be greater than or equal to \(5\), which does not make sense in this context.\(\newline\)(B) \((x)/(0.59) \leq 5\) is incorrect for the same reason as option A.\(\newline\)(C) \(0.59x \geq 5\) is incorrect because it suggests that the cost of the lemons should be greater than or equal to \(\$5.00\), which is not what we want.\(\newline\)(D) \(0.59x \leq 5\) is correct because it states that the cost of the lemons should be less than or equal to \(\$5.00\), which is the condition we are looking for.

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