For a livestock competition, the weight classes for hogs are shown in this table.

Classes:

Light: 200-230 (weight range in lbs.)
Heavy: 230-250 (weight range in lbs.)

a. What is the center of each weight class?

A:
Center of Light class: 215 pounds (lb.)
Center of Heavy class: 240 pounds (lb.)

b. Write functions in terms of y for the range of each weight class. Specify the domain for each.

A:
Light-weight class: y = |x - 215|; 200 \< x \< 230
Heavy-weight class: y = | x - 240|; 230 \< x \< 250

c. Graph the functions on the same coordinate plane for the relevant domain.

A: ?

d. Where would the functions overlap without the domain restrictions?

A: ?

Please! I've been asking for help regarding this question for days.

I think for part C:

match a t chart for x and y
for the light weight, x can be anything bigger than 200 and lower than 230

so x can be 200 all the way to 229

Now do the same for the heavy weight class

then plot them.

for part D:
It's asking at what point the lines intersect

you can set
|x-125|=|x-240|
x=182.5

then plug the x into each equation to find the coordinates for both.

they should be the same.
(182.5, 57.5)

someone check this

To graph the functions for the weight classes on the same coordinate plane, we can plot the points and connect them with a line.

For the light-weight class, the function is y = |x - 215|, and the domain is 200 < x < 230.

To find the y-coordinate for a given x-coordinate, we substitute the x-values into the function. Starting with x = 200:

y = |200 - 215| = |-15| = 15

So the point (200, 15) lies on the graph.

Similarly, for x = 230:

y = |230 - 215| = |15| = 15

The point (230, 15) also lies on the graph.

Plotting these two points and connecting them with a line, we get the graph for the light-weight class.

For the heavy-weight class, the function is y = |x - 240|, and the domain is 230 < x < 250.

Using the same process, we can find the y-coordinates for x = 230 and x = 250:

For x = 230:
y = |230 - 240| = |-10| = 10

For x = 250:
y = |250 - 240| = |10| = 10

Plotting these two points and connecting them with a line, we get the graph for the heavy-weight class.

On the coordinate plane, the graphs of the weight classes will overlap where the y-values are the same. In this case, the y-values for both classes are 15. However, without the domain restrictions, the overlapping region would not be visible because it falls outside the given ranges of x-values for each weight class.