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B 69°F Mostly cloudy View Policies Current Attempt in Progress A student takes a part-time job to earn $3300 for summer travel. The number of hours, h, the student has to work is inversely proportional to the wage, w, in dollars per hour. (a) Write an expression for the function h. h(w) = (b) How many hours does the students have to work if the job pays $11 an hour? The student has to work hours. (c) How does the number of hours change as the wage goes up from $11 an hour to $22 an hour? The number of hours the student needs to work -- Q Search

B 69°F Mostly cloudy View Policies Current Attempt in Progress A student takes a part-time job to earn $3300 for summer travel. The number of hours, h, the student has to work is inversely proportional to the wage, w, in dollars per hour. (a) Write an expression for the function h. h(w) = (b) How many hours does the students have to work if the job pays $11 an hour? The student has to work hours. (c) How does the number of hours change as the wage goes up from $11 an hour to $22 an hour? The number of hours the student needs to work -- Q Search

Algebra and Trigonometry (6th Edition)
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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**Educational Website Content on Wage and Work Hours** A student takes a part-time job to earn $3300 for summer travel. The number of hours, \( h \), the student has to work is inversely proportional to the wage, \( w \), in dollars per hour. ### Question Breakdown #### (a) Expression for the Function \( h \) - **Task:** Write an expression for the function \( h \). - **Solution area:** An empty box is provided for the answer. #### (b) Calculating Work Hours at $11/Hour - **Question:** How many hours does the student have to work if the job pays $11 an hour? - **Solution area:** An empty box is provided for the answer. - **Prompt:** "The student has to work [ ] hours." #### (c) Change in Working Hours with Wage Increase - **Question:** How does the number of hours change as the wage goes up from $11 an hour to $22 an hour? - **Solution area:** An empty box is provided for the answer. - **Prompt:** "The number of hours the student needs to work [ ]." ### Explanation The problem requires an understanding of inverse proportionality, where \( h \times w = k \), and \( k \) is a constant representing the total amount needed. Solving these questions involves calculating how changes in wages affect the number of hours worked to reach the financial goal.
Transcribed Image Text:**Educational Website Content on Wage and Work Hours** A student takes a part-time job to earn $3300 for summer travel. The number of hours, \( h \), the student has to work is inversely proportional to the wage, \( w \), in dollars per hour. ### Question Breakdown #### (a) Expression for the Function \( h \) - **Task:** Write an expression for the function \( h \). - **Solution area:** An empty box is provided for the answer. #### (b) Calculating Work Hours at $11/Hour - **Question:** How many hours does the student have to work if the job pays $11 an hour? - **Solution area:** An empty box is provided for the answer. - **Prompt:** "The student has to work [ ] hours." #### (c) Change in Working Hours with Wage Increase - **Question:** How does the number of hours change as the wage goes up from $11 an hour to $22 an hour? - **Solution area:** An empty box is provided for the answer. - **Prompt:** "The number of hours the student needs to work [ ]." ### Explanation The problem requires an understanding of inverse proportionality, where \( h \times w = k \), and \( k \) is a constant representing the total amount needed. Solving these questions involves calculating how changes in wages affect the number of hours worked to reach the financial goal.
**Question 15 of 15** (d) Use algebra to determine the effect of raising the student’s wages from $w an hour to $2w an hour on the number of hours she has to work, for any value of w. \[ h(2w) = \_\_\_ \] If the student’s wages double, then the number of hours she has to work \[ \text{Choose one} \] (e) Is the wage, \( w \), needed to earn $3300 inversely proportional to the number of hours, \( h \)? Express \( w \) as a function of \( h \). \[ w \text{ is } \text{Choose one} \] \[ w = \_\_\_ \] **Explanatory Note:** The questions involve understanding the relationship between the hourly wage, the number of hours worked, and total earnings, using algebraic principles. The aim is to explore how changes in wages affect hours worked and how earnings are related to hours when given a fixed amount.
Transcribed Image Text:**Question 15 of 15** (d) Use algebra to determine the effect of raising the student’s wages from $w an hour to $2w an hour on the number of hours she has to work, for any value of w. \[ h(2w) = \_\_\_ \] If the student’s wages double, then the number of hours she has to work \[ \text{Choose one} \] (e) Is the wage, \( w \), needed to earn $3300 inversely proportional to the number of hours, \( h \)? Express \( w \) as a function of \( h \). \[ w \text{ is } \text{Choose one} \] \[ w = \_\_\_ \] **Explanatory Note:** The questions involve understanding the relationship between the hourly wage, the number of hours worked, and total earnings, using algebraic principles. The aim is to explore how changes in wages affect hours worked and how earnings are related to hours when given a fixed amount.
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**Question 15 of 15** **(d)** Use algebra to determine the effect of raising the student’s wage from $w an hour to $2w an hour on the number of hours she has to work, for any value of *w*. \[ h(2w) = \underline{\hspace{2cm}} \] If the student’s wages double, then the number of hours she has to work \(\choose \text{one}\). **(e)** Is the wage, *w*, needed to earn $3300 inversely proportional to the number of hours, *h*? Express *w* as a function of *h*. *w* is \(\choose \text{one}\) to *h*. \[ w = \underline{\hspace{4cm}} \]
Transcribed Image Text:**Question 15 of 15** **(d)** Use algebra to determine the effect of raising the student’s wage from $w an hour to $2w an hour on the number of hours she has to work, for any value of *w*. \[ h(2w) = \underline{\hspace{2cm}} \] If the student’s wages double, then the number of hours she has to work \(\choose \text{one}\). **(e)** Is the wage, *w*, needed to earn $3300 inversely proportional to the number of hours, *h*? Express *w* as a function of *h*. *w* is \(\choose \text{one}\) to *h*. \[ w = \underline{\hspace{4cm}} \]
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