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Question
problems 7 - 8: a plane flew at a constant speed between denver and chicago. it took the plane 1.5 hours to fly 915 miles
- complete the table.
- how far would the plane fly in 10 hours at this speed?
| time (hr) | distance (mi) |
|---|
| 1 |
| 1.5 | 915 |
| 2 |
| 2.5 |
Step1: Calculate the speed of the plane
Speed = $\frac{\text{Distance}}{\text{Time}}$. Given distance = 915 miles and time = 1.5 hours, so speed = $\frac{915}{1.5}=610$ miles per hour.
Step2: Complete the table for time = 1 hour
Since speed is 610 miles per hour, when time $t = 1$ hour, distance $d=610\times1 = 610$ miles.
Step3: Complete the table for time = 2 hours
When $t = 2$ hours, $d=610\times2=1220$ miles.
Step4: Complete the table for time = 2.5 hours
When $t = 2.5$ hours, $d=610\times2.5 = 1525$ miles.
Step5: Find the distance for 10 - hour flight
Using the formula $d=v\times t$, with $v = 610$ miles per hour and $t = 10$ hours, $d=610\times10=6100$ miles.
| Time (hr) | Distance (mi) |
|---|---|
| 1.5 | 915 |
| 2 | 1220 |
| 2.5 | 1525 |
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The plane would fly 6100 miles in 10 hours. The completed table is shown above.