Answer:
3. [tex]y=\frac{1}{4}(\frac{1}{2} )^{x}[/tex]
Step-by-step explanation:
To find the equation best suited to the graph, look at the y-intercept, which is where x = 0 and y = [tex]\frac{1}{4}[/tex]. Use each formula and replace the x with zero to determine the y-intercept of each formula:
1) [tex]y=2(5)^{0} =2[/tex]
2)[tex]y=\frac{1}{3}(4)^{x0}=\frac{1}{3}[/tex]
3)[tex]y=\frac{1}{4} (\frac{1}{2} )^{0} =\frac{1}{4}[/tex]
4)[tex]y=5(\frac{1}{4})^{0}=5[/tex]
The only likely equation is number 3
