Seed costs for a farmer are $105 per acre for corn and $210 per acre for soybeans. How many acres of each crop should the farmer plan if she wants to spend no more than $6300 on seeds? Let x = the number of acres planted with corn and y = the number of acres planed with soybeans. Which of the following inequalities about the spending matches the statement above? (A) 105x + 210y > 6, 300 (B) 105x + 210y≤ 6300 (C) 105x + 210y < 6,300 (D) 105x + 210y ≥ 6,300

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

Seed costs for a farmer are $105 per acre for corn and $210 per acre for soybeans. How many acres of each crop should the farmer plan if she wants to spend no more than $6300 on seeds?

Let \( x \) represent the number of acres planted with corn and \( y \) represent the number of acres planted with soybeans. Which of the following inequalities about the spending matches the statement above?

**Inequalities:**

(A) \( 105x + 210y > 6,300 \)

(B) \( 105x + 210y \leq 6300 \)

(C) \( 105x + 210y < 6,300 \)

(D) \( 105x + 210y \geq 6,300 \)

**Options:**

- A
- D
- C
- B

**Explanation:**

The farmer wants to ensure that the total seed cost does not exceed $6300. The relevant inequality that models this scenario is option (B), \( 105x + 210y \leq 6300 \), indicating that the total cost for corn and soybeans combined should be less than or equal to $6300.
Transcribed Image Text:**Problem Statement:** Seed costs for a farmer are $105 per acre for corn and $210 per acre for soybeans. How many acres of each crop should the farmer plan if she wants to spend no more than $6300 on seeds? Let \( x \) represent the number of acres planted with corn and \( y \) represent the number of acres planted with soybeans. Which of the following inequalities about the spending matches the statement above? **Inequalities:** (A) \( 105x + 210y > 6,300 \) (B) \( 105x + 210y \leq 6300 \) (C) \( 105x + 210y < 6,300 \) (D) \( 105x + 210y \geq 6,300 \) **Options:** - A - D - C - B **Explanation:** The farmer wants to ensure that the total seed cost does not exceed $6300. The relevant inequality that models this scenario is option (B), \( 105x + 210y \leq 6300 \), indicating that the total cost for corn and soybeans combined should be less than or equal to $6300.
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