Alright! Let's break down the problem into simpler parts.
1. Hannah earns $10.25 for every hour she works.
2. She spends $4 on gas each day to get to and from work.
Now, let's use a letter to represent something we don't know. Let's use the letter 'H' to represent the number of hours Hannah works in a day.
So, the money Hannah earns in a day by working 'H' hours is:
Money earned = Hourly wage × Number of hours
= $10.25 × H
= 10.25H (this means 10.25 times H)
Now, she spends $4 on gas each day, so we need to subtract this from the money she earns.
Total money she brings home in a day = Money earned - Money spent on gas
= 10.25H - $4
= 10.25H - 4
That's our algebraic expression!
In simple words, to find out how much money Hannah brings home in a day, you multiply the number of hours she works by $10.25 and then subtract $4 for the gas.
For example, if Hannah works for 8 hours in one day, you would plug 8 in place of 'H' in the expression:
= 10.25 × 8 - 4
= $82 - $4
= $78
So, Hannah would bring home $78 that day.