For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. C(h) = 3 + 5h What does the slope and the y-intercept represent? How much money will she make if she baby-sits 5 hours?

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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**Bellwork #38**

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.

\[ C(h) = 3 + 5h \]

What do the slope and the y-intercept represent?

How much money will she make if she baby-sits for 5 hours?

**Explanation:**

- **Equation:** The equation \( C(h) = 3 + 5h \) models the cost \( C \) as a function of hours \( h \).
- **Slope:** The slope is 5, representing the hourly rate ($5 per hour).
- **Y-intercept:** The y-intercept is 3, representing the flat fee charged regardless of hours worked.
- **Calculation for 5 hours:** Substitute \( h = 5 \) into the equation: \( C(5) = 3 + 5(5) = 3 + 25 = 28 \).
  
Nicole will make $28 if she babysits for 5 hours.
Transcribed Image Text:**Bellwork #38** For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. \[ C(h) = 3 + 5h \] What do the slope and the y-intercept represent? How much money will she make if she baby-sits for 5 hours? **Explanation:** - **Equation:** The equation \( C(h) = 3 + 5h \) models the cost \( C \) as a function of hours \( h \). - **Slope:** The slope is 5, representing the hourly rate ($5 per hour). - **Y-intercept:** The y-intercept is 3, representing the flat fee charged regardless of hours worked. - **Calculation for 5 hours:** Substitute \( h = 5 \) into the equation: \( C(5) = 3 + 5(5) = 3 + 25 = 28 \). Nicole will make $28 if she babysits for 5 hours.
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