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Answer :
Sure, let’s break down the equation [tex]\( S = 145t + 85 \)[/tex] to understand what the numbers in the equation represent.
The equation [tex]\( S = 145t + 85 \)[/tex] describes how the amount of money saved, [tex]\( S \)[/tex], changes over time, [tex]\( t \)[/tex].
1. Initial Amount (Starting Savings):
- The number 85 is the constant term in the equation.
- This represents the initial amount of money saved before any additional saving takes place. So, you started with [tex]$\$[/tex] 85[tex]$.
2. Monthly Savings Rate:
- The number 145 is the coefficient of \( t \) in the equation.
- This represents the amount of money saved per month. Thus, every month, you save an additional $[/tex]\[tex]$ 145$[/tex].
So, putting it all together:
- The 85 in the equation tells us that you started with [tex]$\$[/tex] 85[tex]$.
- The 145 in the equation means that you save $[/tex]\[tex]$ 145$[/tex] per month.
Therefore, the correct interpretation of the numbers in this equation is:
- 85 means you started with [tex]$\$[/tex] 85[tex]$.
- 145 means that you save $[/tex]\[tex]$ 145$[/tex] per month.
This matches the third option in the question:
```
85 means you started with [tex]$\$[/tex] 85[tex]$ and 145 means that you save $[/tex]\[tex]$ 145$[/tex] per month
```
So, this is the correct answer.
The equation [tex]\( S = 145t + 85 \)[/tex] describes how the amount of money saved, [tex]\( S \)[/tex], changes over time, [tex]\( t \)[/tex].
1. Initial Amount (Starting Savings):
- The number 85 is the constant term in the equation.
- This represents the initial amount of money saved before any additional saving takes place. So, you started with [tex]$\$[/tex] 85[tex]$.
2. Monthly Savings Rate:
- The number 145 is the coefficient of \( t \) in the equation.
- This represents the amount of money saved per month. Thus, every month, you save an additional $[/tex]\[tex]$ 145$[/tex].
So, putting it all together:
- The 85 in the equation tells us that you started with [tex]$\$[/tex] 85[tex]$.
- The 145 in the equation means that you save $[/tex]\[tex]$ 145$[/tex] per month.
Therefore, the correct interpretation of the numbers in this equation is:
- 85 means you started with [tex]$\$[/tex] 85[tex]$.
- 145 means that you save $[/tex]\[tex]$ 145$[/tex] per month.
This matches the third option in the question:
```
85 means you started with [tex]$\$[/tex] 85[tex]$ and 145 means that you save $[/tex]\[tex]$ 145$[/tex] per month
```
So, this is the correct answer.
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