Question

Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.

Answer 1

Option a, 2x + 1, 6 and 13, 7 and 15.

Here, we are given input-output table as shown in the figure.

To find the equation for this table let us look at each option one by one-

a. 2x + 1

Here if we take input x = 2

output = 2(2) + 1

= 5

If x = 3

output = 7

and if we check for other values also, 2x + 1 will satisfy.

Thus, 2x + 1 is the correct equation.

we can check the points as well-

if x = 6

output = 2(6) + 1 = 13

and if x = 7

output = 2(7) + 1

= 15

Since, we've found the correct answer in option a, we do not need to check the other options.

Thus, option a is the correct answer.

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