Answer:
Science class had a higher average
Step-by-step explanation:
Given
g(x) table
Solving (a): f(2)
We have:
So:
Solving (b): g(2)
From the given table.
Solving (c): f(4) or g(4); which is greater
So:
For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1
This means that:
So
<em>Hence, g(4) i.e. Science class is greater</em>
First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.
Linear function has a form of,
Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,
Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.
From here you solve the equation for n,
So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,
Hope this helps.
r3t40