The data is equally spaced in x so let's start by taking first differences.
4-9 = -5
-1-4 = -5
-6 - -1 = -5
-11 - -6 = -5
Hmmm. I detect a pattern. That tells us we have a line and the slope is -5.
We read off the y intercept from x=0 as -1.
So our equation in slope intercept form is
y = -5 x - 1
or as a function

Answer:
After 5 years, savings account = $241.00
After 8 years, savings account = $269.53
Step-by-step explanation:
If the savings account increases by 3.8% per year, this means it will be 103.8% of the previous year's value since 100% + 3.8% = 103.8%
103.8% in decimal form = 103.8/100 = 1.038
Therefore, the exponential function is:
, where
is the number of years
So when
,

After 5 years, savings account = $241.00
After 8 years, savings account = $269.53
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
icang [17]
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate
for 
So, we substitute values of x in the given function.
At x= -2, we have
![3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=3%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B3%5E2%7D%3D%5Cdfrac%7B1%7D%7B9%7D%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
At x= 1, we have

At x= 3

So, the values of
for
Thus, the correct answer is B) 1/9, 3, 27
Can't be. It's a decimal.