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A local ice cream shop has a parking lot with enough space for 1818 cars. There are 77 cars in the parking lot right now.\newlineLet xx represent how many more cars can park in the lot. Which inequality describes the problem?\newlineChoices:\newline(A) x+718x + 7 \leq 18\newline(B) x+718x + 7 \geq 18\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineUp to ___ more cars can park in the lot.

Full solution

Q. A local ice cream shop has a parking lot with enough space for 1818 cars. There are 77 cars in the parking lot right now.\newlineLet xx represent how many more cars can park in the lot. Which inequality describes the problem?\newlineChoices:\newline(A) x+718x + 7 \leq 18\newline(B) x+718x + 7 \geq 18\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineUp to ___ more cars can park in the lot.
  1. Identify Capacity and Cars: Step 11: Identify the total parking capacity and the current number of cars.\newlineThe parking lot can hold 1818 cars, and there are currently 77 cars parked. We need to find out how many more cars can fit.\newlineCalculation: 1818 (total capacity) - 77 (cars already parked) =11= 11.
  2. Define Variable xx: Step 22: Define the variable xx. Let xx represent the number of additional cars that can park in the lot. We need to find the maximum value of xx.
  3. Set Up Inequality: Step 33: Set up the inequality.\newlineSince xx is the number of additional cars, and the total capacity cannot exceed 1818 cars, the inequality is x+718x + 7 \leq 18.
  4. Solve for x: Step 44: Solve the inequality for xx.x+718x + 7 \leq 18Subtract 77 from both sides:x187x \leq 18 - 7x11x \leq 11

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