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Answer :
Sure! Let's break down the equation [tex]\( S = 145t + 85 \)[/tex] and understand what each number in the equation represents.
The equation [tex]\( S = 145t + 85 \)[/tex] describes the amount of money [tex]\( S \)[/tex] you have saved after [tex]\( t \)[/tex] months.
1. Initial Amount (when [tex]\( t = 0 \)[/tex]):
- When you start ([tex]\( t = 0 \)[/tex]), the equation simplifies to [tex]\( S = 145(0) + 85 \)[/tex].
- This equals [tex]\( S = 85 \)[/tex].
- So, the number 85 represents the initial amount of money you have saved at the beginning.
2. Monthly Savings:
- The part of the equation [tex]\( 145t \)[/tex] represents the amount of money added each month.
- For each month [tex]\( t \)[/tex], you save [tex]\( \$145 \)[/tex].
- Therefore, the number 145 represents the amount of money you save each month.
Putting it all together:
- The initial amount of money saved at the start is [tex]\( \$85 \)[/tex].
- You save an additional [tex]\( \$145 \)[/tex] each month.
So, the correct interpretation is:
"85 means you started with \[tex]$85 and 145 means that you save \$[/tex]145 per month."
The equation [tex]\( S = 145t + 85 \)[/tex] describes the amount of money [tex]\( S \)[/tex] you have saved after [tex]\( t \)[/tex] months.
1. Initial Amount (when [tex]\( t = 0 \)[/tex]):
- When you start ([tex]\( t = 0 \)[/tex]), the equation simplifies to [tex]\( S = 145(0) + 85 \)[/tex].
- This equals [tex]\( S = 85 \)[/tex].
- So, the number 85 represents the initial amount of money you have saved at the beginning.
2. Monthly Savings:
- The part of the equation [tex]\( 145t \)[/tex] represents the amount of money added each month.
- For each month [tex]\( t \)[/tex], you save [tex]\( \$145 \)[/tex].
- Therefore, the number 145 represents the amount of money you save each month.
Putting it all together:
- The initial amount of money saved at the start is [tex]\( \$85 \)[/tex].
- You save an additional [tex]\( \$145 \)[/tex] each month.
So, the correct interpretation is:
"85 means you started with \[tex]$85 and 145 means that you save \$[/tex]145 per month."
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