Daniel is on an airplane flying to a destination 825 miles away. After one hour, the pilot announces that the plane is 495 miles away from its destination airport. In another hour, the pilot announces that the plane will begin its half-hour descent for the final 165 miles. Which equation represents the remaining distance, in miles, to the destination in terms of t , the time, in hours, since leaving the airport?
Answer
A
d is equal to 825 plus 165 t
B
d is equal to 825 plus 330 t
C
d is equal to 825 minus 330 t
D
d is equal to 825 minus 165 t
Explanation
After one hour, the remaining distance drops from 825 miles to 495 miles, so the plane covers 825 − 495 = 330 miles per hour. The final 165 miles take half an hour, which also confirms a rate of 330 miles per hour. Therefore, after t hours, the remaining distance is d = 825 − 330t, matching “d is equal to 825 minus 330 t.”
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