Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Sure! Let's break down the problem step-by-step to form the equation that represents Bob's savings.
1. Initial Amount:
- Bob starts with [tex]$150 in his savings account. This is a constant value that does not change over time. 2. Monthly Savings: - Bob saves $[/tex]40 every month. This means that for every month [tex]\( x \)[/tex], Bob's savings will increase by [tex]$40. To write an equation that represents Bob's total savings \( y \) over time, we need to combine these two pieces of information: 3. Equation Formation: - The total savings \( y \) after \( x \) months will be the sum of the initial amount and the total savings accumulated over \( x \) months. - The initial amount is $[/tex]150.
- The savings accumulated over [tex]\( x \)[/tex] months is $40 multiplied by the number of months, [tex]\( 40x \)[/tex].
Putting these together, we have:
[tex]\[ y = 40x + 150 \][/tex]
This equation represents Bob's savings over time, where [tex]\( x \)[/tex] is the number of months and [tex]\( y \)[/tex] is the total amount in his savings account.
1. Initial Amount:
- Bob starts with [tex]$150 in his savings account. This is a constant value that does not change over time. 2. Monthly Savings: - Bob saves $[/tex]40 every month. This means that for every month [tex]\( x \)[/tex], Bob's savings will increase by [tex]$40. To write an equation that represents Bob's total savings \( y \) over time, we need to combine these two pieces of information: 3. Equation Formation: - The total savings \( y \) after \( x \) months will be the sum of the initial amount and the total savings accumulated over \( x \) months. - The initial amount is $[/tex]150.
- The savings accumulated over [tex]\( x \)[/tex] months is $40 multiplied by the number of months, [tex]\( 40x \)[/tex].
Putting these together, we have:
[tex]\[ y = 40x + 150 \][/tex]
This equation represents Bob's savings over time, where [tex]\( x \)[/tex] is the number of months and [tex]\( y \)[/tex] is the total amount in his savings account.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.