f(x) = 11.93·1.42^x
<h3>Step-by-step explanation:</h3>I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...
... y = a·b^x
It told me ...
... a ≈ 11.9304, b ≈ 1.41885
In accordance with the problem statement, these values are rounded to hundredths to get the answer.
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<em>Comment on the graph</em>
The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.
The y-intercept of and the y-intercept of
are equal
The equations are given as:
Make y the subject in both equations
<u>First equation</u>
<u>Second equation</u>
A linear equation is represented as:
Where b represents the y-intercept
So: By comparison,
--- the y-intercept of the first equation
--- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of and the y-intercept of
are equal
Read more about y-intercepts at: