Question

Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin's age and N represent Noah's age. Ages are measured in years.

1. Write a function that gives the age of Noah's cousin in months, as a function of Noah's age in years.

Answer 1

The function to represent the age of Noah's cousin in months, based on Noah's age in years, is M(N) = (N - 7) × 12, where N is Noah's age in years.

Step-by-step explanation:

We are asked to write a function that represents the age of Noah's cousin in months, based on Noah's age in years. We know that Noah's cousin is exactly 7 years younger than Noah, and we can express this relationship using variables where C represents the cousin's age in years, and N represents Noah's age in years.

The function that describes the cousin's age in years as a function of Noah's age would be C = N - 7 because the cousin is 7 years younger.

To convert this to months, we must multiply by 12, because there are 12 months in a year.

Thus, the cousin's age in months M as a function of Noah's age in years is M(N) = (N - 7) × 12.