Q:

Cole must complete 45 hours of community service.He does 3 hours each day.Write a linear equation to represent the hours Cole has left after X days?

Accepted Solution

A:
Answer:y = 45 - 3xStep-by-step explanation:1. Figure out what type of equation you'll be making.the word "linear" tells us that we need to make an equation with both "x" and "y" in it.since each day, he does 3 hours, we can multiply x by 3 in our equation. 3*xtake a sec to think about this logic and make sure you understand why it makes sense.2. Subtract the already-completed hours from the total.then, we can SUBTRACT what Cole has ALREADY done FROM the 45-hour TOTAL requirement in order to find out how many he has REMAINING.45 - 3x3. Write out the final equation in LINEAR form.again, the word "linear" tells us that we need to make an equation with both "x" and "y" in it. we already dealt with x in step one, so now, we just need to include y. we can do this by setting the expression equal to y.y = 45 - 3xthat's the final equation--we're all done!