The wholesale price for a shirt is $ 6.50 . A certain department store marks up the wholesale price by 60 % . Find the price of
1 answer:
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Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
This gives:
Substitute values for f(0) and f(1)
The slope of g(x) can be gotten using the following comparison
So:
Solving (b): Compare the y intercept
y intercept is when
From the table of f(x)
From the equation of g(x)
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To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation: