To determine how many feet per second Curtis can run if he estimates that he can run 18 miles per hour, we need to convert his speed from miles per hour to feet per second step-by-step.
1. Understand the given data:
- Curtis's speed: [tex]\(18\)[/tex] miles per hour.
- 1 mile equals [tex]\(5280\)[/tex] feet.
- 1 hour equals [tex]\(3600\)[/tex] seconds.
2. Convert miles per hour to feet per second:
We know:
[tex]\[
\text{Speed (feet per second)} = \frac{\text{Speed (miles per hour)} \times \text{Feet per mile}}{\text{Seconds per hour}}
\][/tex]
3. Plug in the values:
- Speed (miles per hour) = [tex]\(18\)[/tex]
- Feet per mile = [tex]\(5280\)[/tex]
- Seconds per hour = [tex]\(3600\)[/tex]
[tex]\[
\text{Speed (feet per second)} = \frac{18 \times 5280}{3600}
\][/tex]
4. Calculate the numerator:
[tex]\[
18 \times 5280 = 95040
\][/tex]
5. Divide the numerator by the denominator:
[tex]\[
\frac{95040}{3600} = 26.4
\][/tex]
Hence, Curtis can run approximately [tex]\(26.4\)[/tex] feet per second.
Reviewing the given answer choices:
A. 4.89 feet per second
B. 26.4 feet per second
C. 158.4 feet per second
D. 792.0 feet per second
The correct answer is:
B. 26.4 feet per second
