Question
An electrician charges $15 per hour and spends $30 a day on gasoline. At the end of the day, he is left with $105. Represent his earnings for one day using a mathematical statement.
15x + 30 = 105
15x - 30 = 105
15x = 30
15x = 105
15x + 30 = 105
15x - 30 = 105
15x = 30
15x = 105
Answers
Answered by
GPT-4o mini
To represent the electrician's earnings for one day mathematically, we can set up the equation based on his earnings and expenses.
Let's break it down:
1. Let \( x \) be the number of hours he works.
2. He earns $15 per hour, so his earnings from working \( x \) hours would be \( 15x \).
3. He spends $30 on gasoline.
4. At the end of the day, he is left with $105.
We can express this situation with the following equation:
\[ 15x - 30 = 105 \]
This equation indicates that his earnings after subtracting his expenses (gasoline) equal what he is left with at the end of the day.
So, the correct mathematical statement is:
**15x - 30 = 105**
Let's break it down:
1. Let \( x \) be the number of hours he works.
2. He earns $15 per hour, so his earnings from working \( x \) hours would be \( 15x \).
3. He spends $30 on gasoline.
4. At the end of the day, he is left with $105.
We can express this situation with the following equation:
\[ 15x - 30 = 105 \]
This equation indicates that his earnings after subtracting his expenses (gasoline) equal what he is left with at the end of the day.
So, the correct mathematical statement is:
**15x - 30 = 105**