A shuttle bus to Willow Creek Mall has enough seats for 21 people to ride. Right now, there are 12 people on the bus. Let x represent how many more people can ride on the bus. Which inequality describes the problem? Choices: (A)12 + x ≥ 21 (B)12 + x ≤ 21 Solve the inequality. Then, complete the sentence to describe the solution. Up to ____ more people can ride on the bus.

Question

A shuttle bus to Willow Creek Mall has enough seats for 21 people to ride. Right now, there are 12 people on the bus. Let x represent how many more people can ride on the bus. Which inequality describes the problem?   Choices: (A)12 + x ≥ 21 (B)12 + x ≤ 21    Solve the inequality. Then, complete the sentence to describe the solution. Up to ____ more people can ride on the bus.

Bytelearn · Accepted Answer

Identify Capacity and Occupancy:  Step 1: Identify the total capacity and current occupancy of the bus. The bus can hold 21 people, and there are currently 12 people on it. We need to find out how many more people can fit. Calculation: 21 - 12 = 9.Define Variable x:  Step 2: Define the variable x. Let x represent the number of additional people that can board the bus. We need to find the maximum value of x.Set Up Inequality:  Step 3: Set up the inequality. Since x is the number of additional people, and the bus can't hold more than 21 people in total, the inequality that describes this situation is 12 + x ≤ 21.Solve Inequality:  Step 4: Solve the inequality. Subtract 12 from both sides of the inequality: 12 + x ≤ 21 x ≤ 21 - 12 x ≤ 9

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