Nate’s weekly pay, in dollars, when he works x hours is represented by this expression.


{
16
.
50
x
0
≤
x
≤
40
24
.
75
(
x
−
40
)
+
660
x
>
40
16  . 50  x	0≤x≤40	24 . 75 (  x-40 )+660	x>40 
How much is Nate paid for each hour he works over 40?
	A.	
$8.25

 	B.	
$41.25

 	C.	
$24.75

 	D.	
$16.50

 






Nate's pay for each hour over 40 is represented by the second part of the expression:

\[
24.75(x - 40) + 660 \quad \text{for} \quad x > 40
\]

This tells us that for every hour worked over 40, Nate earns **$24.75** per hour, which corresponds to option **C**.

### Answer: **C. $24.75**

Do you want further details or explanations?

Here are five questions related to the problem:

1. How is Nate's pay calculated if he works exactly 40 hours?
2. What is the total weekly pay if Nate works 45 hours?
3. Why does Nate earn more per hour after 40 hours of work?
4. How can we express Nate's weekly pay using a piecewise function?
5. What is the interpretation of the $660 term in the expression?

**Tip:** In piecewise functions, different formulas apply for different conditions (like hours worked), so it's essential to evaluate the correct part based on the value of the variable.

Nate’s weekly pay, in dollars, when he works x hours is represented by this expression.

{
16.50x 
0 ≤ x ≤ 40
24.75(x - 40) + 660 x > 40
}

How much is Nate paid for each hour he works over 40?
A. $8.25
B. $41.25
C. $24.75
D. $16.50

Learn how to calculate Nate's weekly pay, including overtime pay, using a piecewise function. This problem explores hourly wage calculations and introduces concepts like linear equations and piecewise function evaluation. Ideal for students in Grades 7-9.

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