Answer:
y = 46
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 23 when x = 8 , then
23 = ( multiply both sides by 8 )
184 = k
y = ← equation of variation
When x = 4 , then
y = = 46
The linear inequality of the graph is: -x + 2y + 1 > 0
<h3>How to determine the linear inequality?</h3>First, we calculate the slope of the dashed line using:
Two points on the graph are:
(1, 0) and (3, 1)
The slope (m) is:
This gives
m = 0.5
The equation of the line is calculated as:
So, we have;
This gives
Multiply through by 2
Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <.
Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
2y > x - 1
Rewrite as:
-x + 2y + 1 > 0
So, the linear inequality is: -x + 2y + 1 > 0
Learn more about linear inequality at:
#SPJ1
<u>Complete question</u>
Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c 0 where a, b, and c are integers with no common factor greater than 1.)
