A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 28 oz of beans. When she plants 38 stalks, each plant produces 24 oz of beans. Find a linear relationship in the form y = mn + b that gives the yield when n stalks are planted. y =
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 28 oz of beans. When she plants 38 stalks, each plant produces 24 oz of beans. Find a linear relationship in the form y = mn + b that gives the yield when n stalks are planted. y =
Algebra and Trigonometry (6th Edition)
6th Edition
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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![**Understanding Linear Relationships: Bean Stalks and Yield**
A farmer finds there is a linear relationship between the number of bean stalks, \( n \), she plants and the yield, \( y \), each plant produces. For instance:
- When she plants 30 stalks, each plant yields 28 ounces of beans.
- When she plants 38 stalks, each plant produces 24 ounces of beans.
Given this information, the objective is to determine a linear relationship of the form \( y = mn + b \) that calculates the yield \( y \) based on the number of stalks \( n \) that are planted.
Enter the formula in the text box to find the yield when \( n \) stalks are planted.
\[ y = \_\_\_\_ \]
To solve this, determine the slope \( m \) and y-intercept \( b \) using the given points: (30, 28) and (38, 24).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0cced35-ae0d-464b-8bca-6dbaa684602c%2F4e6a2c1d-04d2-48ce-a0e6-7b0d20bf2a92%2Fk8yzlcj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Linear Relationships: Bean Stalks and Yield**
A farmer finds there is a linear relationship between the number of bean stalks, \( n \), she plants and the yield, \( y \), each plant produces. For instance:
- When she plants 30 stalks, each plant yields 28 ounces of beans.
- When she plants 38 stalks, each plant produces 24 ounces of beans.
Given this information, the objective is to determine a linear relationship of the form \( y = mn + b \) that calculates the yield \( y \) based on the number of stalks \( n \) that are planted.
Enter the formula in the text box to find the yield when \( n \) stalks are planted.
\[ y = \_\_\_\_ \]
To solve this, determine the slope \( m \) and y-intercept \( b \) using the given points: (30, 28) and (38, 24).
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