Chapter 4, Problem 9CT

To determine

To find: a function rue to represent given situation and how much vanilla remains after 12 batches of cookies.

Answer to Problem 9CT

The function rule is $F=48-2b$ , and the amount of vanilla remaining after 12 batches of cookies are 24 tsp.

Explanation of Solution

Given information:

A bottle holds 48 tsp of vanilla. The amount A of vanilla remaining in the bottle decreases by 2 tsp per batch b of cookies.

Consider F is the function rule and multiply 2 by b to find the decreases in batch b of cookies,

  $2\times b=2b$

And decreases from 48 tsp

  $48-2b$

It is equals to function rule.

  $F=48-2b$

Now, solve for 12 cookies by substituting 12 for b in function rule,

  $\begin{array}{l}F=48-2\left(12\right)\\ =48-24\\ =24\end{array}$

Therefore the function rule is $F=48-2b$ , and the amount of vanilla remaining after 12 batches of cookies is 24 tsp.