Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Relationships: Introducing Functions, Exercise 29: Exercise 2H

You work for a credit card company, and you receive a base salary plus commission based on how many people you sign up for a credit card each month. You are paid in GBP. Your boss calculates your monthly salary using the formula $S\left(n\right)=2.20(n-100)$, where $n$ is the number of people who sign up for a credit card.

Your colleague was paid $\pounds 114.40$ last month. How many people did she get to sign up for a credit card?

The amount, $\mathrm{\$}P$, paid for a new TV is given by the formula $P(x)=1.10(x-25)$, for $x>25,$ where $x$ is the original price of the TV.

State the component functions and explain what they might represent.

The amount, $\mathrm{\$}P$, paid for a new TV is given by the formula $P(x)=1.10(x-25)$, for $x>25,$ where $x$ is the original price of the TV.

How much did you pay for the TV before tax if the price tag was $\mathrm{\$}699.99$ ?

[Enter the value excluding units]

The amount, $\mathrm{\$}P$, paid for a new TV is given by the formula $P(x)=1.10(x-25)$, for $x>25,$ where $x$ is the original price of the TV.

Before tax if the price tag was $\mathrm{\$}699.99$, how much did the TV cost after tax?

[Enter the value excluding units]

The amount, $\mathrm{\$}P$, paid for a new TV is given by the formula $P(x)=1.10(x-25)$, for $x>25,$ where $x$ is the original price of the TV.

The store offers insurance on the TV for $\$49.99$. If they cannot charge tax on insurance, rewrite $P\left(x\right)$ to include this fee.

The amount, $\mathrm{\$}P$, paid for a new TV is given by the formula $P(x)=1.10(x-25)$, for $x>25,$ where $x$ is the original price of the TV.

The store offers insurance on the TV for $\$49.99$. If they cannot charge tax on insurance, rewrite $P\left(x\right)$ to include this fee and use the new $P\left(x\right)$ to calculate how much you paid with the insurance if the price tag of the TV was $\$525.99$.

[Enter the value excluding units and up to three decimal places]

Create a word problem that can be modelled using the function $f\left(x\right)=0.75(x-250)$.Define the variables and state a reasonable domain for your function.

Create a word problem that can be modelled using the function $f\left(x\right)=0.75(x-250)$.Define the variables and state a reasonable domain for your function.

State the component functions and explain what they represent in the context of your word problem.