Answer:
c(x) = 2.50 + 0.75x
Step-by-step explanation:
She pays 2.50 for the movie, that number won't change. Every night she keeps the movie it's an additional 0.75, we do not know how many night she is going to keep it, therefore we place x.
Option 3, c(x) = 2.50 + 0.75x
A function is a relationship between an input and an output, for example, a function known as x² will have its output as the square of its input.
When you want to create a function you keep in mind the constant of the function which means the number that does not change even if there are different inputs, then you have to check the behavior of the function, whether it is linear, exponential, or logarithmical. Using all this info you can create one function.
As we have been informed that x equals the number of nights.
The cost function is the function that calculates the function for nights.
As we have been told that $2.50 is a flat fee that doesn't apply for every night this becomes a constant and every night 0.75 charge is applied which says that for one night the charge will be 2.5+0.75 for two nights it will be 2.50+0.75*2 and so on.
So for x nights c(x) = 2.50 + 0.75x
Answer to the question is 2.50+0.75x
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