a. Terms: The terms in the equation are y, x, and the constant 80. The coefficient of x is 80.
b. The domain is continuous.
The linear function y=700−80x represents the amount of money a club has left after booking x hotel rooms. Let's answer the given questions:
a. Interpret the terms and coefficient in the equation.
Terms: The terms in the equation are y, x, and the constant 80
y represents the amount of money left after booking x hotel rooms.
x represents the number of hotel rooms booked.
The constant 80 represents the cost of each hotel room in dollars.
Coefficient: The coefficient of x is 80. This represents the cost of each hotel room in dollars.
b. Find the domain of the function. Is the domain discrete or continuous? Explain.
The domain of the function is the set of all possible values of x, which is the number of hotel rooms booked. Since there is no upper or lower limit on the number of hotel rooms that can be booked, the domain is continuous.