Question

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=32-3 x $$

Short answer

Input-output table: {(1, 29), (1.5, 27.5), (3, 23), (4.5, 18.5), (6, 14)}

Step-by-step solution

Substitution for x = 1

We substitute x = 1 into the function to find the corresponding y value: \(y = 32 - 3 * 1\)

Substitution for x = 1.5

Similar to the previous step, now substitute x = 1.5 into the function: \(y = 32 - 3 * 1.5\)

Substitution for x = 3

Substitute x = 3 into the function: \(y = 32 - 3 * 3\)

Substitution for x = 4.5

Substitute x = 4.5 into the function: \(y = 32 - 3 * 4.5\)

Substitution for x = 6

Finally, substitute x = 6 into the function: \(y = 32 - 3 * 6\)

Compile the Results

To finish, compile the pairs of x and y values that you computed in the previous steps. These will form your input-output table.