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10. let ( g ) represent the total number of hours greg will travel on h…

Question

  1. let ( g ) represent the total number of hours greg will travel on his trip across the country to attend his cousin’s wedding. the first day he travels 8 hours. the second day he travels 9 hours. the third day he had mechanical problems and only drove for 4 hours. write an algebraic expression to represent how much time he has left to drive.

Explanation:

Step1: Calculate total hours driven

First, find the sum of the hours driven on each day. The first day: 8 hours, second day: 9 hours, third day: 4 hours. So total driven hours = \(8 + 9 + 4\) = \(21\) hours.

Step2: Write the algebraic expression

Let \(g\) be the total hours of the trip. The time left to drive is total hours minus hours already driven. So the expression is \(g - (8 + 9 + 4)\) which simplifies to \(g - 21\).

Answer:

\(g - 21\)