College

We appreciate your visit to Puzzle Three Solve the following four problems The code to unlock puzzle three is a four letter code according to the correct answers The correct. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

**Puzzle Three**

Solve the following four problems. The code to unlock puzzle three is a four-letter code according to the correct answers. The correct code for problem one will be the first letter in the code and so on.

**Problem 1:** During the summer, Adrian reads 4.5 books a week. At this rate, how many will he have read after the eight weeks of summer?

[tex]
\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline Answer & 18 & 24 & 30 & 36 & 48 \\
\hline Code & A & B & C & D & E \\
\hline
\end{tabular}
\]
[/tex]

**Problem 2:** Five friends are planning to meet at the zoo. Sara and Megan run to the park, Katie walks, Jared jogs, and Levi rides his bike. Whose graph of distance and time will be the steepest based on their method of travel?

[tex]
\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline Answer & Jared & Katie & Levi & Megan & Sara \\
\hline Code & A & B & C & D & E \\
\hline
\end{tabular}
\]
[/tex]

**Problem 3:** Allison opened a savings account with [tex]$100[/tex]. At the end of five months, she has [tex]\$850[/tex] in her account. She deposited the same amount each month during these five months. What is the rate she has been making deposits at each month to her savings?

[tex]
\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline Answer & \begin{tabular}{c}\$170 a \\ month\end{tabular} & \begin{tabular}{c}\$170 a \\ week\end{tabular} & \begin{tabular}{c}\$150 a \\ month\end{tabular} & \begin{tabular}{c}\$150 a \\ week\end{tabular} & \begin{tabular}{c}\$100 a \\ month\end{tabular} \\
\hline Code & A & B & C & D & E \\
\hline
\end{tabular}
\]
[/tex]

**Problem 4:** Zach keeps records of his monthly earnings. Last month he worked 120 hours and earned [tex]$2,700[/tex]. This month he worked 100 hours and earned [tex]\$2,300[/tex]. Which equation could you use to find [tex]f(x)[/tex], the amount he would earn at this rate if he worked [tex]x[/tex] hours?

[tex]
\[
\begin{tabular}{|c|c|c|c|c|}
\hline Answer & \(f(x)=20x+300\) & \(f(x)=100x+300\) & \(f(x)=300x\) & \(f(x)=400x\) \\
\hline Code & A & B & C & D \\
\hline
\end{tabular}
\]
[/tex]

**Code:**

Answer :

Let's solve each problem step-by-step to find the four-letter code:

### Problem 1
Adrian reads 4.5 books a week. To find out how many books he will read in 8 weeks:
[tex]\[ \text{Books in 8 weeks} = 4.5 \times 8 = 36 \][/tex]

So, the correct answer to Problem 1 is 36, which corresponds to Code 'D'.

### Problem 2
To determine whose graph of distance and time will be the steepest, we consider their modes of travel:

- Running usually has the highest speed compared to walking, jogging, and biking.
- Since Megan and Sara are the ones running, their steepness would be the highest.

Therefore, the steepest graph will belong to either Megan or Sara. However, the multiple-choice options don't provide more specifics, so any running person will suffice. Let's assume 'Sara' gives us the correct solution here and corresponds to Code 'E.'

### Problem 3
Allison's initial amount was [tex]$100, and after 5 months she had $[/tex]850. To find out how much she deposited each month:
[tex]\[ \text{Total deposit over 5 months} = 850 - 100 = 750 \][/tex]
[tex]\[ \text{Monthly deposit} = \frac{750}{5} = 150 \][/tex]

So, the correct answer is [tex]$150 a month, which corresponds to Code 'C.'

### Problem 4
To determine the income equation \( f(x) \) based on Zach's work hours and earnings:
Given:
- Last month: 120 hours, $[/tex]2700.
- This month: 100 hours, [tex]$2300.

First, calculate the slope \( m \):
\[ m = \frac{2700 - 2300}{120 - 100} = \frac{400}{20} = 20 \]

Next, use the slope-intercept formula \( y = mx + b \) to find \( b \):
\[ 2700 = 20 \times 120 + b \]
\[ 2700 = 2400 + b \]
\[ b = 2700 - 2400 = 300 \]

So, the equation is:
\[ f(x) = 20x + 300 \]

The correct answer is \( f(x) = 20x + 300 \), which corresponds to Code 'A.'

### Putting it all Together
The four-letter code is derived from the first letter of the above solutions:
1. Problem 1: 36 -> Code 'D'
2. Problem 2: Sara (running) -> Code 'E'
3. Problem 3: $[/tex]150 a month -> Code 'C'
4. Problem 4: [tex]\( f(x) = 20x + 300 \)[/tex] -> Code 'A'

Thus, the final code to unlock puzzle three is 'DECA'.

Thanks for taking the time to read Puzzle Three Solve the following four problems The code to unlock puzzle three is a four letter code according to the correct answers The correct. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada