13. LANDSCAPE George hired some people to work on his yard one day per week for a month. At the end of the month George received a bill. On the bill he was charged $230 for 12 hours worth of work, including a monthly service fee of $50. a. Assuming that the relationship between the amount of the bill and the number of hours worked is linear, write an equation for this relationship. b. What is the slope of the line? What are the units associated with the slope of the line? What does the slope tell you about the problem situation? c. What is the vertical intercept of the line? What does the vertical intercept tell you abou" the problem situation?

13. LANDSCAPE George hired some people to work on his yard one day per week for a month. At the end of the month George received a bill. On the bill he was charged $230 for 12 hours worth of work, including a monthly service fee of $50. a. Assuming that the relationship between the amount of the bill and the number of hours worked is linear, write an equation for this relationship. b. What is the slope of the line? What are the units associated with the slope of the line? What does the slope tell you about the problem situation? c. What is the vertical intercept of the line? What does the vertical intercept tell you abou" the problem situation?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

13. LANDSCAPE George hired some people to work on his yard one day per week for a month.
At the end of the month George received a bill. On the bill he was charged $230 for 12 hours
worth of work, including a monthly service fee of $50.
a. Assuming that the relationship between the amount of the bill and the number of hours
worked is linear, write an equation for this relationship.
b. What is the slope of the line? What are the units associated with the slope of the line?
What does the slope tell you about the problem situation?
C. What is the vertical intercept of the line? What does the vertical intercept tell you about
the problem situation?

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