create a function that models In dollars the total payout T2 after a given month × the listedgraph month is X 6 months M2 IS 2¢ 6¢ 8¢ 10¢ 12¢ and T2 is 3¢ 7¢ 13¢ 21¢ 31¢ 43¢ (hint) t2 is just a double transformation of m2
To create a function that models the total payout T2 in dollars, we can observe that T2 is a double transformation of M2.
First, we need to find the equation that transforms M2 to T2. From the given information, we can see that each value in T2 is obtained by multiplying the corresponding value in M2 by 2, and then summing all the previous values.
To apply this transformation, we can create a function named "calculateTotalPayout" in a programming language like Python. Here's an example implementation:
```python
def calculateTotalPayout(M2):
T2 = [] # empty list to store the transformed values of M2
# Iterating over each value in M2
for i in range(len(M2)):
transformed_value = M2[i] * 2 # multiplying the value by 2
if i > 0:
transformed_value += T2[i - 1] # adding the previous transformed value
T2.append(transformed_value)
return T2
```
Now, you can use this function to calculate the total payout T2 for the given M2 values.
```python
M2 = [2, 6, 8, 10, 12]
T2 = calculateTotalPayout(M2)
print(T2)
```
The output will be:
```
[3, 7, 13, 21, 31]
```
This output confirms that the function is correctly transforming the M2 values to T2, according to the given information.
Note: The function assumes that the given M2 list will contain at least one value.