Answer:
<em>x - 3y = 6</em>
Step-by-step explanation:
<u>Equation of the line in intercept form</u>
The intercept form of the equation of a line is:
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
A function that gives the amount that the plant earns per man-hour t years after it opens is
Given that
A manufacturing plant earned $80 per man-hour of labor when it opened.
Each year, the plant earns an additional 5% per man-hour.
Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.
Amount earned by plant when it is opened = $80 per man-hour
As it is given that each year, the plants earns an additional of 5% per man hour
So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)
Amount earned by plant after two years is given as:
Similarly Amount earned by plant after three years
Hence a function that gives the amount that the plant earns per man-hour t years after it opens is