Question

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

Answer 1

Hey there! I'm happy to help!

The domain is all of the possible x-values and the range is all of the possible y-values.

Let's quickly rearrange our equation so we can plug in x to see what y is.

12x+6y=24

We subtract 12x from both sides.

6y=-12x+24

We divide both sides by six.

y= -2x+4

Since there are three domains we can plug into this equation that can give us one output, we will have three numbers in our range! Let's plug in our x-values to get our three y-values.

y=-2(-4)+4

y=12

y=-2(0)+4

y=4

y=-2(5)+4

y= -6

When writing your range, you order the numbers from least to greatest. We can write this range as {-6,4,12}

Have a wonderful day!