Answer:
<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>
Step-by-step explanation:
Find first the constant of variation.
Given: x = 3, y = 4
Find: k = ?
Formula:

Solution:

Then, find the value of y in the third box.
Given: x = 24, k = 12
Find: y = ?
Formula:

Solution:

First, the number given in <em>g(x)</em> is 4, so look at the graph. You need to find that number that makes one of the statements true.
The true statement is at 4≤<em>x</em><8, because 4≤4, and 4<8, so replace the x on equation 0.5x+10 with 4.
0.5(4)+10
0.5 × 4 = 2
2+10 = 12
So, the value for <em>g(4)</em> is <em>12.</em>
So first you combine all the equations and make them add up to 56.
The equation should look as such: 2y + 8 = 56
Then we solve for y
Work: 2y + 8 = 56
2y = 48
y = 24
I hope this helps!