Question

The function y= 60 -8x represents the amount y (in dollars) of money you have after buying x movie tickets.

Answer 1

The domain is not continuous because x can only be a whole number, the graph of the allowed points is in the image at the end.

The reasoning is the second option.

Is the domain continuous?

We have the function y= 60 -8x represents the amount y (in dollars) of money you have after buying x movie tickets.

Remember that the domain is the set of possible inputs of a function, and here we have that x, the input, is the number of movie tickets bought.

Notice that x can only be a whole number or 0, so it is not continuous, it is a discrete set.

The correct option is the second one.

Answer 2

the given expression is,

y = 60 - 8x

here x = number of movie tickets.

as the given expression is a linear equation,

so it domain will be (- infinity, + infinity) OR all real numbers,

also, it is a continuous function.

thus, the answer is, the domain of the linear function is continuous.