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psa180
29.10.2019 •
Mathematics
a company started with 3 employees and after 8 months grew to 19. the growth was steady.
what is the equation that models the growth of the company's employees?
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Ответ:
y = 2x + 3
Step-by-step explanation:
We can make 2 coordinate points and find equation of the line using the line formula.
We can say that at starting (0 months), there were 3 employees.
After 8 months, there were 19 employees.
Let months be x points and number of employees be y points.
Thus, 2 points would be:
(0,3) & (8,19)
Now, the equation of the line is given as:
Where m is the slope and b is the y-intercept
Let's find slope first with the formula:
Where
x_1 = 0
x_2 = 8
y_1 = 3
y_2 = 19
Thus, we have:
Slope =![m=\frac{y_2-y_1}{x_2-x_1}=\frac{19-3}{8-0}=\frac{16}{8}=2](/tpl/images/0350/8150/db915.png)
Now we have:
y = 2x + b
To find b, we put (0,3) into the equation:
y = 2x + b
3 = 2(0) + b
3 = 0 + b
b = 3
So the equation of the line is:
y = 2x + 3
Ответ:
B
Step-by-step explanation: