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:
Write domain and range as inequalities keep in mind you work for 4 hours
The domain of the function is the set of possible values for the independent variable, which in this case is the hours you babysit. Since the question specifies that you babysit for 4 hours, we can write the domain as:
Domain: x = 4
The range of the function is the set of possible values for the dependent variable, which in this case is the amount of money in the bank account. Using the given function, we can substitute x=4 and calculate the value for y:
y = 10(4) + 100 = 40 + 100 = 140
So, the range of the function is:
Range: y ≥ 140