Question

A laboratory technician used the function

t(m) = 2(3)2m +1 to model her research. Consider
the following expressions:
I. 6(3) 2m II. 6(6)2m III. 6(9)
The function t(m) is equivalent to
1) I, only 2) II, only 3) I and III 4) II and
III

Answer 1

the answer is: I, only

Explanation:

We can start by simplifying the function t(m):

t(m) = 2(3)^(2m) + 1

Now, let's evaluate each of the expressions I, II, and III using this function:

I. 6(3)^(2m) = 2(3)^(2m+1)

II. 6(6)^(2m) = 2(3)^(2m+2)

III. 6(9) = 2(3)^2

So the question is asking which of the expressions above is equivalent to t(m).

Comparing the expressions above to t(m), we can see that expression I is equivalent to t(m), since both have a 2 in front and a power of 3 raised to 2m+1. Therefore, the answer is:

I, only