Answer:
The function is y=f(x)=11.95+0.50x
step by step explanation:
You pay $24 for 2 CDs, $48 for 4 CDs, $120 for 10 CDs. That means that each CD costs $12.
We can write a function rule:
Cost =$12 × (number of CDs) or f(x)=12x
You can see that a negative number turns into the same number, only positive, while a non-negative number stays the same. This means that the function being used here is the absolute value function: f(x)=∣x∣.
Coming up with a function based on a set of values really is as tricky as it looks. There’s no rule that will tell you the function every time, so you just have to think of all the types of functions you know and guess which one might be a good fit, and then check if your guess is right. In this book, though, we’ll stick to writing functions for linear relationships, which are the simplest type of function.
1. Maya has an internet service that currently has a monthly access fee of $11.95 and a connection fee of $0.50 per hour. Represent her monthly cost as a function of connection time.Let x= the number of hours Maya spends on the internet in one month
Let y= Maya’s monthly cost
The cost has two parts: the one-time fee of $11.95 and the per-hour charge of $0.50. So the total cost is the flat fee + the charge per hour × the number of hours.
The function is y=f(x)=11.95+0.50x.
2. Alfredo wants a deck build around his pool. The dimensions of the pool are 12 feet×24 feet and the decking costs $3 per square foot. Write the cost of the deck as a function of the width of the deck.
The function is y=f(x)=11.95+0.50x
