High School

On Monday, Dave drove exactly [tex]m[/tex] miles. On Tuesday, he drove 112 fewer miles than he drove on Monday.

Which of the following expressions represents the total number of miles Dave drove on both days?

A. [tex]m - 112[/tex]
B. [tex]2m - 112[/tex]
C. [tex]2m + 112[/tex]
D. [tex]m + 112[/tex]

Answer :

Final answer:

The expression that represents the total number of miles Dave drove on both days is '2m - 112'. This is because he drove 'm' miles on Monday and A. m - 112 miles on Tuesday. Adding these gives us the total.

Explanation:

The task is to find an expression representing the total miles Dave drove over two days. On Monday, he drove 'm' miles, which we note as the distance for Monday. On Tuesday, he drove 112 fewer miles than he did on Monday. To represent this, we subtract 112 from 'm' (so, m - 112 miles for Tuesday). To find the total miles for both days, we add up the miles for Monday and Tuesday. That is, we add 'm' (miles for Monday) and 'm - 112' (miles for Tuesday). This results in 'm + (m - 112)', which simplifies to 2m - 112.

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