Using translation concepts, we have that:
- The new equation is f(s) = (8/3)s - 20.
- The effect on the graph is that it is a vertical stretch by a factor of 2 of the function f(s).
- Selling 300 shirts with the new function, you obtain a profit of $780.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The profit function given in the problem is:
f(s) = (4/3)s - 20.
From this function, we get that the<u> profit with a single shirt sold is of $4/3</u>. To double the profit, this amount has to be multiplied by 2, hence the new function is:
f(s) = (8/3)s - 20.
Which is a vertical stretch by a factor of 2 of the graph of f(s).
When 300 shirts are sold, the profit is then given by:
f(300) = (8/3) x 300 - 20 = $780.
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The composite function (boa)(x) is equivalent to √3x-3
<h3>Composite function</h3>
Given the following functions
a(x) = 3x +1
b(x) = √x - 4
To determine the composite function (boa)(x)
b(a(x) = b(3x +1)
Substitute 3x + 1 into b(x) to have:
(boa)(x)= √(3x + 1) - 4
(boa)(x) = √3x-3
Hence the composite function (boa)(x) is equivalent to √3x-3
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Answer: 16.5
Step-by-step explanation:
The correct answer is ) D 20
Hope This Helps
-Dante
