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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineWhile visiting Salem, Gina can pay a flat rate of $8\$8 for parking or $1\$1 per hour. For the length of time that Gina wants to park in Salem, the two options are actually equivalent in terms of cost. For how long does Gina want to park? How much will Gina pay?\newlineFor _____\_\_\_\_\_ hours of parking, Gina will pay $_____\$\_\_\_\_\_.

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Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineWhile visiting Salem, Gina can pay a flat rate of $8\$8 for parking or $1\$1 per hour. For the length of time that Gina wants to park in Salem, the two options are actually equivalent in terms of cost. For how long does Gina want to park? How much will Gina pay?\newlineFor _____\_\_\_\_\_ hours of parking, Gina will pay $_____\$\_\_\_\_\_.
  1. Define variables: Let's define the variables. Let xx be the number of hours Gina wants to park. The cost of parking for xx hours at the rate of $1\$1 per hour would be $x\$x. The flat rate for parking is $8\$8. Since the two options are equivalent in cost, we can write the equation:\newlinex=8x = 8
  2. Solve equation: Solve the equation for xx. Since the equation is already simplified, we find that: x=8x = 8 This means Gina wants to park for 88 hours.
  3. Calculate total cost: Calculate the total cost for parking. Since the cost is equivalent whether Gina pays the flat rate or the hourly rate, the total cost will be:\newlineTotal cost = $8\$8

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