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Maths-

General

Easy

Question

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance $d$ , in miles, that Bill will have to drive to reach his family after driving for $n$ days?

$d = 1,000 + 250 n$
$d = 1,000 n - 250$
$d = 250 n - 1,000$
$d = 1,000 - 250 n$

The correct answer is: $d equals 1000 minus 250 n$

Total distance to be travelled = Distance travelled in 1 day × Number of days travelled
Step-by-step solution:-
We know that the total distance Bill needs to drive to visit his family is 1,000 miles.
∴ Total distance to be travelled (in miles) = 1,000 -------------------------- (equation i)
It is given that Bill plans on driving 250 miles per day
∴ Distance already travelled in n number of days (in miles) = 250n ------------- (equation ii)
∴ Distance remaining = Total distance - Distance already travelled
∴ d = 1,000 - 250n
Final Answer:-
Option D i.e. d = 1,000 - 250n is the correct Option.

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