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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.A fashion photographer needs to hire a stylist to prepare her models. Pablo charges for showing up, plus per hour. Joey charges plus per hour. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the cost be? What would the duration be?Either stylist would cost _____ if the shoot lasted _____ hours.
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Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.A fashion photographer needs to hire a stylist to prepare her models. Pablo charges for showing up, plus per hour. Joey charges plus per hour. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the cost be? What would the duration be?Either stylist would cost _____ if the shoot lasted _____ hours.
- Set up equations: Set up the equations based on the information given.Pablo's cost: + per hourJoey's cost: + per hourThe costs are equal for the expected duration of the photo shoot.Let represent the number of hours and represent the total cost.Equation for Pablo: Equation for Joey:
- Set equations equal: Since the costs are equal, we can set the equations equal to each other to find the duration.
- Solve for x: Solve for x by subtracting from both sides and subtracting from both sides.
- Find duration: Divide both sides by to solve for .The duration of the photo shoot would be hour.
- Substitute x back: Substitute back into either Pablo's or Joey's cost equation to find the total cost . Using Pablo's equation: The cost for the photo shoot would be .
