Does the table below represent a function? yes no
2 answers:
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First,
We are dealing with parabola since the equation has a form of,
Here the vertex of an up - down facing parabola has a form of,
The parameters we have are,
Plug them in vertex formula,
Plug in the into the equation,
We now got a point parabola vertex with coordinates,
From here we emerge two rules:
- If
then vertex is max value
- If
then vertex is min value
So our vertex is minimum value since,
Hope this helps.
r3t40
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