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Let's go through each question step-by-step:

### 1. Match the table with an equation:
The table values are:
\[
\begin{align*}
x & : 0, 1, 2 \\
y & : 5, 6, 7 \\
\end{align*}
\]
Checking the equations:
- $ y = x + 5 $: Substituting values gives $y = 5$, $6$, $7$ for $x = 0$, $1$, and $2$ respectively. This matches the table.
- Other equations do not match the table values.

**Answer:** $ y = x + 5 $

### 2. Find the correct equation for Ellie’s savings:
Ellie starts with $650 and saves $150 each month. The equation is:
\[
\text{Savings} = 650 + 150t
\]
Checking the options, the correct one is $650 + 150t$.

**Answer:** $ 650 + 150t $

### 3. Find Melissa’s hourly rate:
The equation given is:
\[
y = 8x + 10
\]
where 10 is likely a fixed amount and 8 represents her hourly rate.

**Answer:** $8 per hour

### 4. Express Flavio’s remaining money:
Flavio has $300 and spends $12 per ride. If he rides $x$ times, then:
\[
\text{Remaining Money} = 300 - 12x
\]
The correct answer is $300 - 12x$.

**Answer:** $ 300 - 12x $

### 5. Percentage calculation:
To find what percent of 80 is 20:
\[
\frac{20}{80} \times 100 = 25\%
\]

**Answer:** 25%

### 6. Find the matching table for $ y = x - 2 $:
Substitute values in the equation $y = x - 2$ to find the table that matches:
- For $x = 0$, $y = -2$.
- For $x = 2$, $y = 0$.
- For $x = 4$, $y = 2$.
Table B matches this pattern.

**Answer:** Table B

### 7. Match the graph with the correct description:
The graph starts at $7 and increases by $7 per hour, so the description should match:
"An initial fee of $7 plus $7 per hour."

**Answer:** Option A

### 8. Choose an equation for Maritza’s value:
If Maritza says 3 times her number is equal to the value of $x$ plus 2, the equation is:
\[
3y = x + 2
\]

**Answer:** $ 3y = x + 2 $

---

Would you like additional explanations for any of these answers, or help with similar questions? 

Here are some related questions:
1. How do you determine if a given equation matches a table of values?
2. What is the importance of understanding the slope in linear relationships?
3. How do we interpret the y-intercept in real-world problems?
4. How can we find hourly rates from linear equations?
5. Why do initial fees often appear as constants in linear cost equations?

**Tip:** In linear equations, the coefficient of $x$ represents the rate of change, and the constant term is the starting value when $x = 0$.

Math 10/14 homework on Linear Relationships.

Explore solutions for Grade 7 math homework on linear relationships. This quiz covers interpreting tables, creating equations, calculating percentages, and analyzing graph data with step-by-step explanations. Ideal for mastering linear equations and understanding real-world applications.

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