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!
Tell me if you're still confused.
Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:
After 2 months:
This is C(2). So
After 12 months:
This is C(12). So
After 24 months:
This is C(24). So
Table:
Input - Output
2 - $290
12 - $690
24 - $1170
The answer is 2 buckets
Explain:
Tim picked 1 7/12 and Fred picked 4 2/3
These as improper fractions are 19/12
And 8/3
To make these have the same denominator you would times the 8/3 by 4 to give 32/12
Take these two away, Fred has 13 more apples.
And as we calculated it with there being 12 in each bucket there would be one full bucket but we would need another bucket for the apple left
So Fred picked 2 more buckets than Tim.
Hoped it makes sense and that I helped
