Question

Please I need help, it’s math

Answer 1

9514 1404 393

Answer:

y = 4.78(1.71)^x

Explanation:

Put the given values into the given formula and solve the two equations for the two unknowns.

`y=a(b)^x\\\\14=a(b)^2\\\\205=a(b)^7\\\\\textsf{Divide the second equation by the first}\\\\(205)/(14)=(a(b)^7)/(a(b)^2)=b^5\\\\b=\sqrt[5]{(205)/(14)}\approx 1.71\qquad\text{fifth root}\\\\a=(14)/(b^2)\qquad\text{first equation solved for $a$}\\\\a=14\sqrt[5]{\left((14)/(205)\right)^2}\approx 4.78\qquad\text{substitute for b}`

So, the approximate equation is ...

y = 4.78(1.71)^x

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A graph shows the points fall very close to the curve.