https://file.aiquickdraw.com/mathbot/file/1722836400246s4vcvwrn.jpg

The question in the image asks:

"A person is earning \$750.00 per day to do a certain job. Express the total salary $ S $ as a function of the number of days $ t $ that the person works. Answer: S(t) = ______"

To solve this, we need to express the total salary $ S $ as a function of the number of days $ t $.

Since the person earns \$750.00 per day, the total salary $ S $ after $ t $ days is calculated by multiplying the daily earnings by the number of days worked.

Thus, the function $ S(t) $ can be expressed as:

\[ S(t) = 750 \times t \]

So, the answer is:

\[ S(t) = 750t \]

Would you like more details or have any questions about this solution?

Here are some related questions to consider:
1. How would the function change if the daily salary were \$800.00 instead of \$750.00?
2. What would be the total salary after 10 days of work?
3. How would you graph the function $ S(t) $?
4. What is the slope of the function $ S(t) $ and what does it represent?
5. If the person takes a day off and works only 6 days in a week, how would you modify the function to reflect weekly earnings?
6. What is the y-intercept of the function $ S(t) $ and what does it represent?
7. How can you determine the number of days needed to reach a certain total salary, say \$4500.00?
8. If the person's salary increases by \$50.00 per day after the first month, how would the function change for the subsequent period?

**Tip:** Understanding the components of linear functions and how they relate to real-world scenarios, such as earnings over time, can greatly enhance your ability to interpret and solve practical problems.

Learn how to express the total salary as a function of the number of days worked at a rate of $750 per day. Understand the calculation method and explore related questions and scenarios. Suitable for Grades 7-9.

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