Answered

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write the exponential function in the form y = abx that goes through points (0,18) and (3,6174)

Sagot :

y = abx

[tex]\text{ y = ab}^x[/tex][tex]\begin{gathered} \text{ 18 = ab}^0 \\ \text{and 6174 = ab}^3 \\ \text{then} \\ a\text{ = 18} \\ \text{ 6174 = 18b}^3 \\ \text{ b}^3\text{ = }\frac{6174}{18} \\ b^3=343^{} \\ b\text{ = 7} \\ \end{gathered}[/tex]

The equation is

[tex]\text{ y = 18(7)}^x[/tex]

View image EilidhS378033
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