
The Local Newspaper charges $7.50 for up to 3 lines.  Each additional line costs $2.  Select TWO the correct piecewise of the function:

f(x)={$7.50whenx≤3*f*(*x*)={$7.50*whenx*≤3

f(x)={$7.50+$2.00(x−3)whenx≤3*f*(*x*)={$7.50+$2.00(*x*−3)*whenx*≤3

f(x)={$7.50+$2xwhenx>3*f*(*x*)={$7.50+$2*xwhenx*>3

*strikethrough_s*

f(x)={$7.50+$2.00(x−3)whenx>3*f*(*x*)={$7.50+$2.00(*x*−3)*whenx*>3

f(x)={$7.50whenx>3*f*(*x*)={$7.50*whenx*>3

The correct piecewise function to describe the newspaper's charges should account for the two pricing rules:

1. **Up to 3 lines costs $7.50.**
2. **Each additional line after 3 costs $2.00 per line.**

### Correct piecewise functions:

1. $ f(x) = 7.50 \quad \text{when} \quad x \leq 3 $
   - This means the charge is $7.50 when the number of lines is 3 or fewer.

2. $ f(x) = 7.50 + 2.00(x - 3) \quad \text{when} \quad x > 3 $
   - This means if the number of lines exceeds 3, the cost is $7.50 plus $2.00 for each line beyond 3.

So, the correct piecewise functions are:

- $ f(x) = 7.50 \quad \text{when} \quad x \leq 3 $
- $ f(x) = 7.50 + 2.00(x - 3) \quad \text{when} \quad x > 3 $

These match the options you provided, which are the following:
- $ f(x) = 7.50 + 2.00(x - 3) \quad \text{when} \quad x > 3 $
- $ f(x) = 7.50 \quad \text{when} \quad x \leq 3 $

Would you like more details or examples of how this function works with specific numbers?

### 5 Related Questions:
1. How would the cost change if the price for additional lines increased to $3.00 per line?
2. How would you write a piecewise function if the base cost was $10 for the first 3 lines instead?
3. What happens to the function if the first 2 lines are free, and only additional lines are charged?
4. How can we express the function graphically for different ranges of $x$?
5. How would you calculate the cost for exactly 7 lines using this function?

### Tip:
When working with piecewise functions, ensure you clearly define the conditions under which each part of the function applies to avoid confusion.

The Local Newspaper charges $7.50 for up to 3 lines. Each additional line costs $2. Select TWO the correct piecewise of the function:

f(x)={$7.50whenx≤3*f*(*x*)={$7.50*whenx*≤3
f(x)={$7.50+$2.00(x−3)whenx≤3*f*(*x*)={$7.50+$2.00(*x*−3)*whenx*≤3
f(x)={$7.50+$2xwhenx>3*f*(*x*)={$7.50+$2*xwhenx*>3
f(x)={$7.50+$2.00(x−3)whenx>3*f*(*x*)={$7.50+$2.00(*x*−3)*whenx*>3
f(x)={$7.50whenx>3*f*(*x*)={$7.50*whenx*>3

Learn how to solve a piecewise function problem where the Local Newspaper charges $7.50 for up to 3 lines and $2 for each additional line. Understand the structure of piecewise functions and linear equations in this problem. Suitable for students in Grades 8-10.

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