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3 years ago

13

Average rate of change from G from x=1 to x=4 is

1 answer:

Maurinko [17]3 years ago

3 0

Answer:

3

Step-by-step explanation:

minus the variable, 4-1 is 3.

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DochEvi [55]

Let $y=ab^x,$ as described in the problem statement. Plugging in $x=2$ and $x=5$ gives us the equations $18=ab^2$ and $60.75=ab^5.$ Since $a,b$ are nonzero, we divide the second equation by the first to get $\frac{27}{8}=b^3,$ which means that $b=\frac{3}{2},$ after taking the cube root. Plugging this value for $b$ into the first equation, we now have $18=a(3/2)^2=\frac{9a}{4}.$ Solving gives $a=8,$ and our desired exponential equation is $\boxed{y=8\left(\frac{3}{2}\right)^x}.$

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Bonus. Here's a formula for the area S of a triangle your teacher doesn't know:

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