Study the in/out table

In(x) Out
3 10
5 16
7 22
8 25
x ?
which expression give the output if x is in he input?

A. 2x-1
B. 3x-1
C. 2x+1
D. 3x+1

I'll be glad to check your answer.

MS SUE MY ANSWER IS D. IS THAT CORRECT?

Right. :-)

To find the expression that gives the output if x is in the input, we can study the pattern in the in/out table. Let's list the differences in the output values to see if we can identify a pattern:

Out(5) - Out(3) = 16 - 10 = 6
Out(7) - Out(5) = 22 - 16 = 6
Out(8) - Out(7) = 25 - 22 = 3

Looking at the differences, we can see that there is a consistent increase of 6 between the output values when going from one input value to the next, except for the last one which has a difference of 3.

So, if we assume that the pattern continues, for the next input x, there will likely be an increase of 6 in the output value.

Now let's test the expressions given to see which one fits this pattern:

A. 2x-1
B. 3x-1
C. 2x+1
D. 3x+1

We can plug in the value 8 for x and see which expression gives us an output of 25, which is the given output for x = 8 in the table.

A. 2(8) - 1 = 16 - 1 = 15
B. 3(8) - 1 = 24 - 1 = 23
C. 2(8) + 1 = 16 + 1 = 17
D. 3(8) + 1 = 24 + 1 = 25

From the calculations, we can see that expression D, 3x+1, gives us an output of 25 when x = 8, which matches the given table. Therefore, the correct expression is:

D. 3x+1