Final answer:
An algebraic model for Jake's age J in terms of Charlotte's age C could be J = C + 2 if Jake is two years older than Charlotte, or J = 2C if Jake is twice as old. Without specific information, we express it generally as J = f(C).
Step-by-step explanation:
An algebraic model for Jake's age J in terms of Charlotte's age C could be J = C + 2 if Jake is two years older than Charlotte, or J = 2C if Jake is twice as old. Without specific information, we express it generally as J = f(C).
To write a model for Jake's age J in terms of Charlotte's age C, we need additional information about the relationship between their ages. For example, if Jake is two years older than Charlotte, the relationship can be expressed as an algebraic equation J = C + 2. If there is a different specific relationship, like Jake being twice as old as Charlotte, then the model would change accordingly to J = 2C. In the absence of such specific information, we can only write the model in a general form indicating that Jake's age is some function of Charlotte's age: J = f(C).
The algebraic model represents a mathematical function that describes how Jake's age is related to Charlotte's age.