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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.A fashion photographer needs to hire a stylist to prepare his models. Zach charges for showing up, plus per hour. Troy charges plus per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the duration be? What would the cost be?If the shoot lasted for _____ hours, either stylist would cost _____.
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Q. Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.A fashion photographer needs to hire a stylist to prepare his models. Zach charges for showing up, plus per hour. Troy charges plus per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the duration be? What would the cost be?If the shoot lasted for _____ hours, either stylist would cost _____.
- Define Variables: Let's define the variables.Let represent the number of hours the photo shoot lasts.Let represent the total cost for hiring either stylist.
- Write Zach's Equation: Write the equation for Zach's total cost.Zach's total cost =
- Write Troy's Equation: Write the equation for Troy's total cost.Troy's total cost =
- Set Equations Equal: Set the two equations equal to each other to find the duration where the costs are the same.
- Solve for x: Solve for x by subtracting from both sides and subtracting from both sides.
- Find Value of x: Divide both sides by to find the value of .
- Substitute into Equation: Substitute the value of back into either of the original equations to find the total cost .Using Zach's equation:
