joseph charges a flat rate fee of $25 plus $9 per hour to watch pets valerie charges $14 per hour to watch pets

Answer 1

Set both equations equal to each other to find the breakeven point: 25 + 9h = 14h. Solve for h.

If you graphed the equations you'd get two straight lines that intersect at the breakeven point.

Answer 2

Hi there! It seems like you may need help with writing an equation to represent each of these scenarios, is that right? If so...

The first thing you must do is define your variables. In this instance, I would use the letter " h " for hours spent watching pets and the letter " c " for the total cost to watch pets.

Therefore, since Joseph's cost " c " is equal to his flat rate fee of $25 plus $9 per hour, his equation would be:

c = 25 + 9h

where 9h is 9 multiplied by h, the number of hours spent watching the pets.

Since Valerie just charges $14 per hour, her cost " c " is equal to her rate of $14 per hour, her equation would be:

c = 14h

where 14h is 14 multiplied by h, the number of hours spent watching the pets.

If the question is asking you to find the hour when they each make the same amount of money, you can use the substitution method of solving systems of equations, also known as the equal values method in some textbooks. You can also create a table where you can determine how much they both cost depending on the number of hours they watch the pets.

Let me know if you'd like help with this if your question asks you to do more than just write the equations. :)