Given a=40°, c=70°, a=20, find b, b, and c

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Ответ:

Jcmandique3444

22.07.2022

Mathematics

Answer-

The y-values increase by a factor of 7 for each x increase of 1.

Solution-

As it is given that y is a exponential function of x, so the general form will be,

y=a(b)^x

The values of x and y are,

(0,1),(2,49),(4,2401),(6,117649)

Putting, y(0) = 1 in the general equation,

$\Rightarrow 1=a(b)^0$

$\Rightarrow 1=a\times 1$

$\Rightarrow a=1$

Now the function is,

$y=1\times (b)^x$

y=(b)^x

Putting, y(2) = 49 in the general equation,

$\Rightarrow 49=(b)^2$

$\Rightarrow b=\sqrt{49}$

$\Rightarrow b=7$ (Taking +ve roots only)

Now the function is,

y=(7)^x

Therefore, for each increment in x yields 7 times more y or the y-values increase by a factor of 7 for each x increase of 1

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