To find the original price before the increase, divide the new price by 1 + the percent of increase.
198 / 1.20 = 165
The original price was $165
The domain would be (4, infinity) so most likely your answer would be D.
Answers:
1) To emphasize the slow increase in profits, it would be best for Bradley to use <u>Graph A</u> for his presentation.
2) Bradley should use this graph for his presentation becauase the profit <u>appears to increase less</u> on this graph.
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
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)
8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5
Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
