Pregunta
The equation for the line of best fit is \( y=15 x+5 \). In this equation, what does the \( y \)-intercept of 5 represent? the approximate amount of savings Colin has after 5 months the number of months for which Colin collected data the approximate amount of savings Colin started with the approximate amount of money Colin saves in a month
Ask by Summers Jimenez. in the United States
Jan 24,2025
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The \( y \)-intercept of 5 represents the approximate amount of savings Colin started with.
Solución
In the linear equation \( y = 15x + 5 \):
- **\( y \)** typically represents the total savings.
- **\( x \)** represents the number of months.
- The **\( y \)-intercept** is the value of \( y \) when \( x = 0 \).
So, when \( x = 0 \) (i.e., at the starting point before any months have passed), \( y = 5 \). This means that the \( y \)-intercept of 5 represents the initial amount of savings Colin has **before** he starts saving each month.
**Answer:** the approximate amount of savings Colin started with
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Simplifique esta solución The Deep Dive
The \( y \)-intercept of 5 in the equation \( y=15x+5 \) represents the approximate amount of savings Colin started with before he began saving over time. It’s like saying, “Before Colin added any savings, he already had $5 in the bank!” This initial amount is essential for understanding his saving journey. To visualize it, imagine Colin’s savings graph: he starts at $5 on the y-axis when x (the time in months) is 0. From there, his money grows steadily, adding $15 for each month that passes. It’s a great way to visualize the magic of compound saving!
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