Write Equations for Proportional Relationships - Instruction - Level
ady
Destiny works at a clothing store, where she is paid by the hour. Last week she worked
12 hours and made . Write an equation to show the amount Destiny is paid for an
number of hours she works.
How much is Destiny paid per hour?
Destiny is paid

Ask by Chen Ford. in the United States

Jan 24,2025

Question

Write Equations for Proportional Relationships - Instruction - Level
ady
Destiny works at a clothing store, where she is paid by the hour. Last week she worked
12 hours and made . Write an equation to show the amount Destiny is paid for an
number of hours she works.
How much is Destiny paid per hour?
Destiny is paid

Ask by Chen Ford. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

Sure, let's work through the problem step by step!

### 1. Writing the Equation

When dealing with **proportional relationships**, the equation typically takes the form:

$$
\text{Total Pay} = \text{Rate per Hour} \times \text{Number of Hours Worked}
$$

Let's use the following variables:
- Let $$ P $$ represent the **total pay**.
- Let $$ r $$ represent the **rate per hour**.
- Let $$ h $$ represent the **number of hours worked**.

So, the equation becomes:

$$
P = r \times h
$$

### 2. Plugging in the Given Values

From the problem:
- Destiny worked $$ 12 $$ hours.
- She made $$ \$114 $$.

Plugging these values into the equation:

$$
114 = r \times 12
$$

### 3. Solving for the Rate per Hour ($$ r $$)

To find $$ r $$, divide both sides of the equation by $$ 12 $$:

$$
r = \frac{114}{12}
$$

$$
r = 9.5
$$

### 4. Conclusion

Destiny is paid $$ \$9.50 $$ per hour.

$$
\boxed{9.50}
$$
Destiny is paid \$9.50 per hour.

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