Final answer:
In the function y=2x+10, the independent variable is x (weeks) and the dependent variable is y (amount of money). The domain is non-negative integers, and the range is all values of y starting at 10 dollars and increasing by increments of 2.
Step-by-step explanation:
The function y=2x+10 represents the amount of money in your piggy bank, where y is the amount in dollars after x weeks. The independent variable in this function is x, which represents the number of weeks. The dependent variable is y, which represents the total amount of money. To determine the domain of the function, we consider the possible values for x. Since the number of weeks can be any non-negative whole number, the domain consists of all non-negative integers. The range of the function is all values that y can take, starting from 10 dollars onwards, increasing by increments of 2 dollars as the number of weeks increases.