An image point of a transformation has coordinates Y'(-3, 2). If the pre-image point had coordinates Y(-9, 6), what was the tran
1 answer:
Answer:
The transformation was a dilation with scale factor 1/3
Step-by-step explanation:
we know that
The transformation
Y ------> Y'
is equal to
Y(-9, 6) -----> Y'(-3, 2)
Divide the x-coordinate of the image by the x-coordinate of the pre-image
-3/-9=1/3
Divide the y-coordinate of the image by the y-coordinate of the pre-image
2/6=1/3
The scale factor is equal to k=1/3
The rule of the transformation is equal to
therefore
The transformation was a dilation with scale factor 1/3
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Given:
Fixed cost = b = $ 42,500
Production cost (Variable cost) /unit = m = $ 6/ unit
Let 'x' represent the number of unit, therefore the variable cost will be
a) The cost function will be the sum of the fixed cost and the variable cost.
b) The revenue function is the amount the product is sold per unit.
Recall: 'x' represents the number of units.
Therefore,
Hence, the revenue function R(x) is
c) The profit function is the difference between the revenue function and the cost function.
Hence, the profit function is
d) Let us compute the profit (loss) values when the units are 6000 and 11000
Using the profit function
Therefore,
Hence,