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A fashion photographer needs to hire a stylist to prepare her models. Gina charges $200\$200 for showing up, plus $60\$60 per hour. Kendra charges $150\$150 plus $70\$70 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 duration be?\newlineWrite a system of equations, graph them, and type the solution.\newline____\_\_\_\_ hours\newline

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Q. A fashion photographer needs to hire a stylist to prepare her models. Gina charges $200\$200 for showing up, plus $60\$60 per hour. Kendra charges $150\$150 plus $70\$70 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 duration be?\newlineWrite a system of equations, graph them, and type the solution.\newline____\_\_\_\_ hours\newline
  1. Define Cost Equations: Define the cost equations for Gina and Kendra based on the information given. Gina's cost: $200+$60\$200 + \$60 per hour. Kendra's cost: $150+$70\$150 + \$70 per hour. Set these equal to find when the costs are the same.
  2. Equation Setup: Set up the equation by equating Gina's and Kendra's costs.
  3. Variable Isolation: Solve for h h by isolating the variable. Subtract 60h 60h from both sides.
  4. Variable Solution: Divide both sides by 1010 to find h h .

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