Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
...(ii)
...(iii)
On dividing (iii) by (ii), we get
Putting 
in (ii), we get
Putting 
in (i), we get
The function notation with variable n is:
Therefore, the correct option is D.
The first answer of part A is 32
So 4y means you have to multiply 4 by y, which is 20 since 4x5=20
And then you add 12, which is 32.
The second answer to part A is 40
With the second question of part a, the expression is basically saying 4 times whatever 5+3 is. So 5+3= 8, and 4(8) is 40
For part B, they are equivalent because let’s pretend y=2. 12+4y= 20. And then 4(y+3) would equal 20 because 4(2)=8 and 4(3)=12 and 8+12=20. This might not be the answer that your teacher is looking for, but it’s still a right answer so technically they can’t say it’s wrong unless you have a super unfair teacher
Step 1. Multiply 5 by y and you get 5y
Step 2. Multiply 5 by .4(2/5)
Step 3. Your equations will look like 5y+2=-13
Step 4. Subtract 2 from its self and -13
Step 5. Your equation will be 5y=-15
Step 6. Divide 5 from both sides
Step 7. Your answer is y=-3
The 40
Is better . It’s like your paying 1 for it and the other one maybe like 1.50 or so
