Question

1. if a standard football field is about 57,600 square feet. given that an average square foot of lawn can contain anywhere from 3,000 to 200,000 blades of grass. what is the approximate number of blades of grass on a football field?

a. 172.8 million to 11.52 billion
b. 1.728 million to 11.52 billion
c. 1.152 million to 0.1728 billion
d. 1.728 billion to 11.52 billion

Explanation:

⚡ Using what you learned: Unit Rate

Step 1: Calculate the lower bound

$$ 57,600 \text{ sq ft} \times 3,000 \text{ blades/sq ft} = 172,800,000 \text{ blades} $$

$$ 172,800,000 = 172.8 \text{ million} $$

Step 2: Calculate the upper bound

$$ 57,600 \text{ sq ft} \times 200,000 \text{ blades/sq ft} = 11,520,000,000 \text{ blades} $$

$$ 11,520,000,000 = 11.52 \text{ billion} $$

Step 3: Match with the options

The range is from \(172.8 \text{ million}\) to \(11.52 \text{ billion}\). This corresponds to option A.

Answer:

A. 172.8 million to 11.52 billion