Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
<u>Plug in the values</u>
<u>Factor out the exponent</u>
<u>Combine</u>
Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
We are going to do this step by step:
Let's start with option A
A.
X = 25 and Y = 5/2
In this case, when X = 25 , then Y = 10 ,which is different to 5/2
B.
X = 14 , Y = 35
In case, when X = 14, then Y = 28/5, which is different to 35
C.
X = 40 , Y = 24
Similarly, in this case, when X = 40, then Y = 16, which is different to 24
D.
X = 10 , Y=4
Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y
E.
X = 50 , Y = 20
In this case, the values of Y are also the same.
F.
X = 30 , Y = 12
Again, in this case, the values of Y are the same, so the pair satisfies the equation.
In conclusion: options D, E and F satisfy the equation
