\begin{tabular}{|l|l|l|l|l|l|}
\hline
[tex]$-4$[/tex] & [tex]$-1$[/tex] & & & & \\
\hline
[tex]$-5$[/tex] & & & & & \\
\hline
[tex]$-1$[/tex] & & & & & \\
\hline
\end{tabular}

If [tex]$f(x) = e^x$[/tex] is the parent exponential function, what is the equation of the transformed function [tex]$g$[/tex] in terms of [tex]$f$[/tex]?

Find the value of [tex]$a$[/tex] to complete the equation.



Answer :

Sure, I'll help you with the step-by-step solution for the problem related to the initial money, cost, and remaining money.

### Problem Statement:
You start with an initial amount of [tex]$23. You buy 5 bagels where each bagel costs $[/tex]3. Calculate the total amount of money spent on bagels and how much money is left after the purchase.

### Solution:

#### Step 1: Identify the initial amount of money
Initially, you have [tex]$23. #### Step 2: Determine the cost of one bagel The cost of one bagel is $[/tex]3.

#### Step 3: Find out how many bagels are bought
You buy 5 bagels.

#### Step 4: Calculate the total amount of money spent on the bagels
To find out the total amount spent, multiply the number of bagels by the cost per bagel:
[tex]\[ \text{Total money spent} = \text{number of bagels} \times \text{cost per bagel} \][/tex]
[tex]\[ \text{Total money spent} = 5 \times 3 = 15 \][/tex]

So, you spend [tex]$15 on bagels. #### Step 5: Calculate the remaining amount of money Subtract the total money spent from the initial amount of money: \[ \text{Money left} = \text{initial amount} - \text{Total money spent} \] \[ \text{Money left} = 23 - 15 = 8 \] So, after buying the bagels, you are left with $[/tex]8.

### Conclusion:
You spent [tex]$15 on 5 bagels and had $[/tex]8 remaining.

This step-by-step process ensures you understand how to derive the results: spending [tex]$15 and having $[/tex]8 left.