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Sagot :

Answer:

[tex]y=11*3^x[/tex]

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fieryanswererft

Answer:

[tex]\sf y = 11(3)^x[/tex]

given points: ( 0, 11) , (2,99)

solve for 1st

[tex]\sf y = ab^x[/tex]

[tex]\sf 11 = ab^0[/tex]

since we know [tex]\sf b^0 = 1[/tex]

[tex]\sf 11 =a[/tex]

solve for 2nd

[tex]\sf y = ab^x[/tex]

[tex]\sf 99 = ab^2[/tex]

[tex]\sf \dfrac{99}{b^2} = a[/tex]

solve simultaneously:

[tex]\sf 11 = \sf \dfrac{99}{b^2}[/tex]

[tex]\sf 11 b^2= \sf 99}[/tex]

[tex]\sf b^2= 9[/tex]

[tex]\sf b = 3[/tex]

Therefore equation:  [tex]\sf y = 11(3)^x[/tex]

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