Answer:
10, 4, 8
Step-by-step explanation:
10 - 4 = 6
4 - 4 = 0
8 - 4 = 4
94/100 miles is the answer. I dont know what form you wanted the answer in but yeah.
Complete the table for the function y = 0.1^x
The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.
* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).
* 0.1^-1 = 1/0.1 = 10
* 0.1^0 = 1 : (Remember this rule: a^0 = 1)
* 0.1^1 = 0.1
Our list of values: 100, 10, 1, 0.1
Now, we can plug these values into your table:
![\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C2%2610%5C%5C1%2610%5C%5C0%261%5C%5C1%260.1%5Cend%7Barray%7D%5Cright%5D)
The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]
I hope this helped!
Answer:
- <u>The multiplicative rate of change of the function is 0.5</u>
Explanation:
The <em>multiplicative rate of change</em> is the ratio between consecutive entries.
Naming r the multiplicative rate of change, if it is constant you get:
- r = second entry / first entry = third entry / second entry = fourth entry / third entry.
Here:
- second entry / first entry = 0.125 / 0.25 = 0.5
- third entry / second entry = 0.0625 / 0.125 = 0.5
- fourth entry / third entry = 0.03125 / 0.0625 = 0.5
Thus, the multiplicative rate of change is 0.5. It means that you can obtain each entry as the product of the previous entry times 0.5:
- 0.25 × 0.5 = 0.125
- 0.125 × 0.5 = 0.0625
- 0.0625 × 0.5 = 0.03125
In general, exponential functions have constant multiplicative rate of changes.
