The function y=10x+100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours.
a. Identify the independent and dependent variables.
The dependent variable is the amount of money in the bank account.
The independent variable is the hours you babysit.
Question 2
b. You babysit for 4 hours. Find the domain and range of the function.
domain:
range:
The domain is the set of possible values for the independent variable. In this case, the domain would be the set of possible values for the number of hours you babysit. It can be any real number (positive or negative), so the domain is (-∞, ∞).
The range is the set of possible values for the dependent variable. In this case, the range would be the set of possible values for the amount of money in your bank account. Since the function is linear and the coefficient of x is positive, the range would be all real numbers greater than or equal to 100. So the range is [100, ∞).