Question

Which of the following tables corresponds to the equation below?

Answer 1

its D

Explanation:

Answer 2

Given the equation;

`y=(1)/(4)(4^x)`

We would create a table of values such that x ranges from 0 to 5;

`\begin{gathered} x=0; \\ \\ y=(1)/(4)(4^0)=(1)/(4) \\ \\ (0,(1)/(4)) \\ \\ x=1; \\ \\ y=(1)/(4)(4^1)=1 \\ \\ (1,1) \\ \\ x=2; \\ \\ y=(1)/(4)(4^2)=4 \\ \\ (2,4) \end{gathered}`

Then;

`\begin{gathered} x=3; \\ \\ y=(1)/(4)(4^3)=16 \\ \\ (3,16) \\ \\ x=4; \\ \\ y=(1)/(4)(4^4)=64 \\ \\ (4,64) \\ \\ x=5; \\ \\ y=(1)/(4)(4^5)=256 \\ \\ (5,256) \end{gathered}`

Thus, the correct table is;