Answer:
To determine the function that describes how much $100 today will be worth at the bookstore x years from now, we need to take into account the annual increase in textbook prices. Given that the price of textbooks is rising by $5 per year, we can calculate the future value of $100 by subtracting $5 for each year.
Let's denote the number of years from now as x. We can then express the future value of $100 as:
f(x) = 100 - 5x
This function represents the amount of money $100 will be worth at the bookstore x years from now, taking into account the annual increase in textbook prices.
To illustrate this further, let's consider a few examples:
- If x = 0 (i.e., no time has passed), f(0) = 100 - 5(0) = 100. This means that $100 today will still be worth $100 at the bookstore immediately.
- If x = 1 (i.e., one year has passed), f(1) = 100 - 5(1) = 95. This implies that $100 today will be worth $95 at the bookstore next year.
- If x = 2 (i.e., two years have passed), f(2) = 100 - 5(2) = 90. Here, $100 today will be worth $90 at the bookstore in two years.
Explanation: