Math Problem Statement

Select the correct answer. The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet. A. -19 1/2 feet B. -12 feet C. 8 feet D. 19 1/2 feet

Solution

Given that each story of the office building is 9 3/4 feet in height and the building has three underground levels, we need to determine the elevation of a car parked two levels below ground.

First, let's convert 9 3/4 feet to an improper fraction for easier calculations: 934=9×4+34=36+34=394 feet9 \frac{3}{4} = \frac{9 \times 4 + 3}{4} = \frac{36 + 3}{4} = \frac{39}{4} \text{ feet}

Since the car is parked two levels below ground, we need to find the height of these two levels combined: 2×394=784=1912 feet2 \times \frac{39}{4} = \frac{78}{4} = 19 \frac{1}{2} \text{ feet}

Since the car is parked below ground, the elevation relative to the ground level (which is 0 feet) will be negative: 1912 feet-19 \frac{1}{2} \text{ feet}

So, the correct answer is: A.1912 feetA. -19 \frac{1}{2} \text{ feet}

Would you like further details or have any questions?

Here are 5 questions you might ask next:

  1. How do you convert mixed numbers to improper fractions?
  2. How do you multiply fractions?
  3. How do you convert an improper fraction back to a mixed number?
  4. What are some common mistakes to avoid when working with negative elevations?
  5. How do you calculate the total height for multiple levels?

Tip: Always double-check your calculations to ensure accuracy, especially when working with fractions and negative numbers.