Mathematics: Find a possible formula for the function represented by the data. the value for the base should be correct to one decimal place. x 0 1 2 3 f left-parenthesis x right-parenthesis 4.80 5.76 6.91 8.29

Find a possible formula for the function represented

braddog5450

12.03.2022

Since clearly we can see that is not linear relation( straight line), let us find ratios of consecutive terms.

$\frac{f(1)}{f(0)} = \frac{5.76}{4.8} = 1.2$

$\frac{f(2)}{f(1)} = \frac{6.91}{5.76} =1.2$

$\frac{f(3)}{f(2)} =\frac{8.29}{6.91} = 1.2$

This follows f(1)= 1.2*f(0)

f(2) = 1.2*f(1) = 1.2*1.2*f(0) = $1.2^{2} * f(0)$

f(3) = 1.2*f(2) = $1.2*1.2^{2} *f(0) = 1.2^{3} * f(0)$

Hence formula is f(x) = $1.2^{x} * f(0)$

f(x) = $4.8*(1.2)^{x}$

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suzyleonardsl0

16.07.2022

500

Step-by-step explanation:

I AM RIGHT USE MY ANSW

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