0401) Which unitrate is equivalent to 17 miles per gallon
1 answer:
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Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
The expression we have is:
And we are given some values for x and y:
The first step will be to substitute the given values into the expression:
The next step is to solve 4^2 which is equal to 16:
And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:
Solving this final multiplication we get the result:
Answer: 512