Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. While visiting Greenville, Gabe can pay a flat rate of 9 for parking or 1 per hour. For the length of time that Gabe wants to park in Greenville, the two options are actually equivalent in terms of cost For how long does Gabe want to park?How much will Gabe pay? For square hours of parking, Gabe will pay

Question

Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. While visiting Greenville, Gabe can pay a flat rate of 9 for parking or 1 per hour. For the length of time that Gabe wants to park in Greenville, the two options are actually equivalent in terms of cost For how long does Gabe want to park?How much will Gabe pay? For square hours of parking, Gabe will pay

Answer 1

To solve this problem, we need to set up a system of equations that represents the two parking payment options available to Gabe.Let $x$ represent the number of hours Gabe wants to park.The first option is a flat rate of $9 dollars, which does not depend on the number of hours parked. This can be represented as:\[ y = 9 \]The second option is $1 per hour, which can be represented as:\[ y = 1 \cdot x \]Now we have the system of equations:\[\begin{array}{l}y = 9 \\y = x\end{array}\]Since both options are equivalent in terms of cost, we can set the two equations equal to each other to find the number of hours Gabe wants to park.Step 1: Set the two equations equal to each other.\[ 9 = x \]Step 2: Solve for $x$.\[ x = 9 \]This means Gabe wants to park for 9 hours.Step 3: Determine the cost for 9 hours of parking.Since the cost is equivalent for both options, we can use either equation to find the cost. Using the flat rate:\[ y = 9 \]The cost for parking is $9.Step 4: State the solution.Gabe wants to park for 9 hours and will pay $9.**For 9 hours of parking, Gabe will pay $9.**

Question

Answer

Answer

Hot Questions