Questions: Seed costs for a farmer are 80 per acre for corn and 120 per acre for soybeans. How many acres of each crop should the farmer plant if she wants to spend no more than 4800 on seed? Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Let x be the number of acres planted with corn and let y be the number of acres planted with soybeans. Choose the correct inequality below. A. 80x + 120y leq 4800, x geq 0, y geq 0 B. 80x + 120y < 4800, x geq 0, y geq 0 C. 80x + 120y > 4800, x geq 0, y geq 0 D. 80x + 120y geq 4800, x geq 0, y geq 0

Seed costs for a farmer are 80 per acre for corn and 120 per acre for soybeans. How many acres of each crop should the farmer plant if she wants to spend no more than 4800 on seed? Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph.

Let x be the number of acres planted with corn and let y be the number of acres planted with soybeans. Choose the correct inequality below.
A. 80x + 120y leq 4800, x geq 0, y geq 0
B. 80x + 120y < 4800, x geq 0, y geq 0
C. 80x + 120y > 4800, x geq 0, y geq 0
D. 80x + 120y geq 4800, x geq 0, y geq 0
Transcript text: Part 1 of 2 Points: 0.5 of 1 Save Question list \% Question 1 Question 2 Question 3 Question 4 Seed costs for a farmer are $\$ 80$ per acre for corn and $\$ 120$ per acre for soybeans. How many acres of each crop should the farmer plant if she wants to spend no more than $\$ 4800$ on seed? Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Let $x$ be the number of acres planted with corn and let $y$ be the number of acres planted with soybeans. Choose the correct inequality below. A. $80 x+120 y \leq 4800, x \geq 0, y \geq 0$ B. $80 x+120 y<4800, x \geq 0, y \geq 0$ C. $80 x+120 y>4800, x \geq 0, y \geq 0$ D. $80 x+120 y \geq 4800, x \geq 0, y \geq 0$ Clear all Check answe
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Solution

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Solution Steps

Step 1: Define Variables and Inequality

Let \( x \) be the number of acres planted with corn and \( y \) be the number of acres planted with soybeans. The cost constraints can be expressed as: \[ 80x + 120y \leq 4800 \]

Step 2: Nonnegative Restrictions

The nonnegative restrictions are: \[ x \geq 0 \] \[ y \geq 0 \]

Step 3: Choose the Correct Inequality

The correct inequality is: \[ 80x + 120y \leq 4800, \quad x \geq 0, \quad y \geq 0 \]

Final Answer

The correct choice is: \[ \text{A. } 80x + 120y \leq 4800, \quad x \geq 0, \quad y \geq 0 \]

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