tanisha is graphing the function $f(x)=25(\\frac{3}{5})^x$. she begins by plotting the point $(1, 15)$…

tanisha is graphing the function $f(x)=25(\\frac{3}{5})^x$. she begins by plotting the point $(1, 15)$. which could be the next point she plots on the graph?\n(2, 9)\n(2, -10)\n(2, 14\\frac{2}{5})\n(2, 5)

tanisha is graphing the function $f(x)=25(\\frac{3}{5})^x$. she begins by plotting the point $(1, 15)$. which could be the next point she plots on the graph?\n(2, 9)\n(2, -10)\n(2, 14\\frac{2}{5})\n(2, 5)

Answer

Explanation:

Step1: Substitute (x = 2) into the function

Given (f(x)=25(\frac{3}{5})^x), when (x = 2), we have (f(2)=25\times(\frac{3}{5})^2).

Step2: Calculate ((\frac{3}{5})^2)

((\frac{3}{5})^2=\frac{3^2}{5^2}=\frac{9}{25}).

Step3: Calculate (25\times\frac{9}{25})

(25\times\frac{9}{25}=9).

Answer:

A. ((2,9))