Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 ar hour to clean tables while he is working. He works a total of 20 hours each week. This situation can be modeled using the following functions: Let x represent the number of hours that Felix works each week as a waiter. Let c represent the number of hours that Felix works cleaning tables. 1. Based on the context given, what does each function represent? h(x) = 5. 25x f(x) = 20 – x g(c) = 6c %3D %3D %3D 2. Find g(f(x)). What does this composite function represent?

Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 ar hour to clean tables while he is working. He works a total of 20 hours each week. This situation can be modeled using the following functions: Let x represent the number of hours that Felix works each week as a waiter. Let c represent the number of hours that Felix works cleaning tables. 1. Based on the context given, what does each function represent? h(x) = 5. 25x f(x) = 20 – x g(c) = 6c %3D %3D %3D 2. Find g(f(x)). What does this composite function represent?

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,...

See similar textbooks

Related questions

Q: A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs…

A: Given: Cost of a CD is $15. Fixed cost to produce a CD is $30000 Selling price of the CD is $52 To…

Q: 2. Match each function rule with the value that could not be a possible input for function. A. 3…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: You run a small store on Canal Street in Manhattan. Sunglasses are among the most important items…

Q: Write the equation for the following function: 10 9 8 7. 5 4 3 1 X. -10 -9 -8 -7 -6 -5 -3 -2 -1 4 9.…

A: Given from graph\let oint Q=(5,-1)point C=(6,0)point B=(4,0)slope of line PQpoint B(4,0) &…

Q: A t-shirt shop charges the following: An initial charge of $50 to create the silk screen. $17.00…

Q: Make input-output tables for the following functions and tell whether they are lincar e not. Provide…

Q: You purchase a luxury platinum iphone case for your sweetheart for $3,587 for a company in Dubai and…

A: Total Amount is $3587.Monthly installment is $211.Let the total number of moth required be m.Then…

Q: Write the domain of the following functions. A 5 7 B C m A A C 1- 2 3₁ B 5 5678 +6 8 8 1 ➜D 9 0 0 0…

Q: Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint…

A: The cost of paint covering 250 sq feet wall = $32.50 The cost of covering 1 sq feet of wall =…

Q: 2. A cellphone company charges Php 25 for at most 2gb of data used in a month, and an additional Php…

A: A cellphone company charges Php 25 for at most 2 gb of data used in a month, and an additional Php…

Q: A store has issued two different coupons for its customers to use. One coupon gives customers $25…

A: A store has issued two different coupons for its customers to use. One coupon gives customers $25…

Q: Khalil puts $50 in his piggy bank and adds $20 every month. a.Write the recursive form of the…

Q: 14 22 16 C. X -11 -5 -1 -5 Y 16 14 16 15 D. X -11 -5 -11 3 Y 16

A: Option (B) is correct.

Q: Andre' paid a $65 annual fee to register with a car rental company. The company charges $8.50 for…

A: Given that: Annual fee on car rental = %65Charges per hour = $8.5/hr

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot…

Q: A store has issued two different coupons for its customers to use. One coupon gives customers $20…

A: Given information: A store has issued two different coupons for its customers to use. One coupon…

Question

inn
(ay.T
Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 an
hour to clean tables while he is working. He works a total of 20 hours each week.
This situation can be modeled using the following functions:
Let x represent the number of hours that Felix works each week as a waiter.
Let c represent the number of hours that Felix works cleaning tables.
1. Based on the context given, what does each function represent?
h(x)
f(x)
g(c) = 6c
= 5. 25x
= 20 – x
2. Find g(f(x)). What does this composite function represent?
64°F Cloudy
DELL

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

1. Graph the following function on the coordinate plane. y = -x² - 8x - 17 y
It's important to compare the total cost of cell phone plans including the cost of the phone. One company charges $64 for a phone and $45 per month for unlimited talk and text. Let C(t) represent the total cost of the phone and plan for t months. Give the formula for the function: Preview What is the total cost for the plan for 13 months. Give the function notation in the first box, the answer in the second box and choose the correct units in the third box. Select an answer
3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the Philippines. The additional fees cost Php 250.00. Task 1: Write a function that will show how much a passenger will pay given the distance (in km) from manila to his destination. (Include the representation of variables) Task 2: Using Desmos, show the graph of the function. Task 3: How much will you pay if the distance from Manila to your destination is 591.35km? (Show/Explain your solution)
An electric company charges its customers $0.0577 per kilowatt-hour (kWh) for the first 1000 kWh used, $0.0532 for the next 4000 kWh, and $0.0511 for any kWh over 5000. Find a piecewise-defined function C for a customer’s bill of x kWh.
A party planner needs to figure out how much it will cost her client to rent a space and pay person for meals. If the cost of the rental space is 40,000and the price per person for food is 500. Construct a function that shows the total cost for any number of people in attendance.
Assume your salary is $25,000$⁢25,000 per year and $80$⁢80 for each computer you sell. What function represents your total pay for one year? Be sure to indicate any domain restrictions.