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Joe is buying apples and persimmons at the grocery store. Each apple costs 
$0.99, and each persimmon costs 
$0.79. If Joe has 
$10, which of the following inequalities describes 
x, the number of apples, and 
y, the number of persimmons, that he can buy?
Choose 1 answer:
(A) 
0.79 x+0.99 y >= 10
(B) 
0.99 x+0.79 y >= 10
(C) 
0.79 x+0.99 y <= 10
(D) 
0.99 x+0.79 y <= 10

Joe is buying apples and persimmons at the grocery store. Each apple costs $0.99\$0.99, and each persimmon costs $0.79\$0.79. If Joe has $10\$10, which of the following inequalities describes xx, the number of apples, and yy, the number of persimmons, that he can buy?\newlineChoose 11 answer:\newline(A) 0.79x+0.99y100.79x+0.99y \geq 10\newline(B) 0.99x+0.79y100.99x+0.79y \geq 10\newline(C) 0.79x+0.99y100.79x+0.99y \leq 10\newline(D) 0.99x+0.79y100.99x+0.79y \leq 10

Full solution

Q. Joe is buying apples and persimmons at the grocery store. Each apple costs $0.99\$0.99, and each persimmon costs $0.79\$0.79. If Joe has $10\$10, which of the following inequalities describes xx, the number of apples, and yy, the number of persimmons, that he can buy?\newlineChoose 11 answer:\newline(A) 0.79x+0.99y100.79x+0.99y \geq 10\newline(B) 0.99x+0.79y100.99x+0.79y \geq 10\newline(C) 0.79x+0.99y100.79x+0.99y \leq 10\newline(D) 0.99x+0.79y100.99x+0.79y \leq 10
  1. Determine Cost: Determine the cost per apple and the cost per persimmon. The cost per apple is $0.99\$0.99, and the cost per persimmon is $0.79\$0.79.
  2. \newline \newline
  3. Form Inequality: Since Joe has $10\$10 to spend, the sum of the cost of apples and persimmons must be less than or equal to $10\$10. This gives us the inequality 0.99x+0.79y100.99x + 0.79y \leq 10.
  4. Check Answer Choices: Check the answer choices to find the inequality that matches our derived inequality. The correct inequality is (D) 0.99x+0.79y100.99x + 0.79y \leq 10.

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