Using a decaying exponential function, it is found that the maximum height reached after the 10th bounce is of 20.62 cm.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the parameters are:
A(0) = 192, r = 0.2.
Hence the maximum height after the nth bounce is:
![A[n] = 192(0.8)^n](https://tex.z-dn.net/?f=A%5Bn%5D%20%3D%20192%280.8%29%5En)
After the 10th bounce, the maximum height in cm is of:
![A[10] = 192(0.8)^10 = 20.62](https://tex.z-dn.net/?f=A%5B10%5D%20%3D%20192%280.8%29%5E10%20%3D%2020.62)
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1
Answer: 50
Step-by-step explanation:
Answer:
A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.
B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.
C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.
Step-by-step explanation:
You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.
