<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Answer:
20
Step-by-step explanation:
7 x 4 = 28
so you do 5 x 4 and get 20
It is subtracting the current number by 1/2 OR you can divide by 2. each time.
32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1
Hope this helped!
Absolute value= opposite. (positive turns into negative)(negative turns into positive)
You would use the formula P(1+r/n)^nt=A I explained it in the picture and if the number is growing it is 1+r/n and if it’s not it is 1-r/n. Also if you don’t know the formula you can do it year by year which I also showed but it will take a long time and it’s easy to make a mistake. The answer would be A because if you plug the numbers into the formula you will get 4045.56 for plan b then you subtract 3000 and round, getting 1046. It is the formula of exponential growth/decay if you want to research further.