2.7 14 ### Mathematics Problem: Inverse Functions and Wage Calculation**Problem Statement:**Your wage is $11.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage $ y $ in terms of the number of units produced $ x $ is $ y = 11 + 0.75x $.#### (a) Find the inverse function.$ f^{-1}(x) = $ [__________]#### (b) Interpret the VariablesWhat does each variable represent in the inverse function?- [ ] $ x = $ hourly wage; $ y = $ number of units produced- [ ] $ x = $ number of units produced; $ y = $ hourly wage#### (c) Determine the Number of Units ProducedCalculate the number of units produced when your hourly wage is $23.75.[__________] units**Need Help?**Click on the "Read It" button for further assistance.### Explanation:The problem involves finding the inverse of a given linear function used to compute hourly wages based on units produced, and interpreting the resulting function to determine the number of units required to achieve a specified hourly wage.The provided function, $ y = 11 + 0.75x $, expresses the hourly wage $ y $ depending on the number of units $ x $ produced per hour. To solve part (a), we need to find $ x = f^{-1}(y) $ which will express the number of units produced given an hourly wage.For part (c), solving for the number of units when the hourly wage is $23.75 will require substituting the wage back into the inverse function found in part (a).*Note: Ensure all mathematical computations are verified for accuracy.*### Further Assistance:For more detailed explanations, please utilize the provided "Read It" resource.

Your wage is $11.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y = 11 +0.75x. (a) Find the inverse function. f-¹(x) = What does each variable represent in the inverse function? O x = hourly wage; y = number of units produced Ox= number of units produced; y hourly wage (b) Determine the number of units produced when your hourly wage is $23.75. units Need Help? Read It