To find out how long it will take an airplane to travel 800 miles given the equation [tex]\( t = \frac{1}{500} d \)[/tex], we will follow these steps:
1. Identify the given values and the equation:
- Distance, [tex]\( d \)[/tex]: 800 miles
- The equation relating time [tex]\( t \)[/tex] to distance [tex]\( d \)[/tex]: [tex]\( t = \frac{1}{500} d \)[/tex]
2. Substitute the given distance into the equation:
- Replace [tex]\( d \)[/tex] with 800 in the equation:
[tex]\[
t = \frac{1}{500} \times 800
\][/tex]
3. Calculate the time:
- Perform the multiplication:
[tex]\[
t = \frac{1}{500} \times 800
\][/tex]
Simplify the expression:
[tex]\[
t = \frac{800}{500}
\][/tex]
[tex]\[
t = 1.6
\][/tex]
4. Interpret the result:
- The time it will take the airplane to travel 800 miles is 1.6 hours.
Therefore, it will take the airplane 1.6 hours to travel 800 miles.
