Middle School

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------------------------------------------------ Sheriff started a new job, working 15 hours a week.

1. Find the constant of proportionality.
2. Write an equation relating hours worked to weeks.
3. After how many weeks will Sheriff have worked a total of 75 hours?

Answer :

Answer:The sheriff will have worked 5 weeks to have got 75 hours of work.

Step-by-step explanation:I know this because to find my solution I divided 75(hours) by the 15(hours) to get 5 weeks worth of work.

Final answer:

To find the constant of proportionality, divide the total hours worked by the total weeks worked. After 5 weeks, Sheriff will have worked a total of 75 hours.

Explanation:

To find the constant of proportionality, we can use the formula:

constant of proportionality = total hours worked / total weeks worked

Let's say Sheriff works a total of 75 hours in 'x' weeks. Since Sheriff works 15 hours per week, we can set up the equation:

15x = 75

Solving for 'x', we divide both sides by 15:

x = 75 / 15

x = 5

Hence, after 5 weeks, Sheriff will have worked a total of 75 hours.

Learn more about Finding the constant of proportionality here:

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