In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
<span>4x - 15 = 3 </span>
<span>4x = 3 + 15 </span>
<span>4x = 18 (divide both sides by 4 to get x) </span>
<span>4x/4 = 18/4 </span>
<span>x = 4.5 </span>
What is the context ? is it multiple choice ?
If X > 0 then X must be a positive number. If Y < 0 then Y must be negative. So the quadrant that contains Positive X values and negative Y values will contain the point that you are looking for. This would be the fourth quadrant.
