Question
A company is increasing the number of employees by the same amount each year. In 2010, the company had 502 employees. The company hires an additional 8 employees each year. Write an equation in slope-intercept form to represent the number of employees of the company y as a function of the number of years since 2010, x.
y = __
y = __
Answers
GPT-4o mini
To write an equation in slope-intercept form (y = mx + b) representing the number of employees of the company as a function of the number of years since 2010, we need to identify the slope and the y-intercept.
1. **Identifying the slope (m):** The company hires an additional 8 employees each year, so the slope (m) is 8.
2. **Identifying the y-intercept (b):** In 2010 (which corresponds to x = 0), the company had 502 employees. Therefore, the y-intercept (b) is 502.
Now, we can write the equation:
\[
y = 8x + 502
\]
So the equation representing the number of employees of the company \( y \) as a function of the number of years since 2010 \( x \) is:
\[
y = 8x + 502
\]
1. **Identifying the slope (m):** The company hires an additional 8 employees each year, so the slope (m) is 8.
2. **Identifying the y-intercept (b):** In 2010 (which corresponds to x = 0), the company had 502 employees. Therefore, the y-intercept (b) is 502.
Now, we can write the equation:
\[
y = 8x + 502
\]
So the equation representing the number of employees of the company \( y \) as a function of the number of years since 2010 \( x \) is:
\[
y = 8x + 502
\]