Question

2. For the function defined by the equation y=3/2x+6, which of the following is the output when the input is -10?

(1) -12
(3) -6
(2) -9
(4)4

Answer 1

The output would be -9.

If you substitute -10 in for x, the equation becomes:

Y = (3/2)(-10) + 6.

First solve for (-3/2)(10).
(-3/2)(10) = -15.

This is negative because a negative number multiplied by a positive number will equal a negative number.

Then add 6 to -15.
-15 + 6 = -9.

Therefore, when the input is -10, the output is -9.