Answer:

Step-by-step explanation:
Assuming the situation can be modelled using a linear equation, then the line must pass through the point (2,54) and (4,100).
To find the equation of this line, we determine the slope using:

Substitute the coordinates of the points:

We use the following formula to find the equation of this line.

We substitute the first point a d slope to get:

Expand the parenthesis to get:

This simplifies to

This is the slope-intercept from.
The number 4.2 from the set will make the equation x+2=6.2 true.
Answer:
equation of g(x) is 3-x
<h2>
<em><u>f(</u></em><em><u>x)</u></em><em>=</em><em> </em><em>-x+</em><em>6</em></h2><h2><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>g(</em><em>x)</em><em>=</em><em>f(</em><em>x+</em><em>3</em><em>)</em></h2>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>then</em><em>,</em><em>,</em>
<h3><em>f(</em><em>x+</em><em>3</em><em>)</em><em>=</em><em>-</em><em>(</em><em>x+</em><em>3</em><em>)</em><em>+</em><em>6</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>-x-3+</em><em>6</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em> </em><em>3</em><em>-</em><em>x</em></h3>
<em><u>ie.</u></em><em><u>.</u></em><em><u> </u></em><em><u>g(</u></em><em><u>x)</u></em><em><u>=</u></em><em><u>3</u></em><em><u>-</u></em><em><u>x</u></em>
Ooh, fun
the average rate of change is the slope
easy, so for section A, it would be the slope from (0,h(0)) to (1,h(1)) or from (0,1) to (1,4)
slope=(y2-y1)/(x2-x1)=(4-1)/(1-0)=3/1=3
section B, would be slope from (2,h(2)) to (3,h(3)) or from
(2,16) to (3,64)
slope=(y2-y1)/(x2-x1)=(64-16)/(3-2)=48/1=48
1. section A has an average rate of change of 3
section B has an average rate of change of 48
2. 48 is how many times greater than 3
48/3=16
16 times greater
it is because it is an exponential function and the slope grows bigger