Jayne stopped to get gas before going on a road trip. the tank already had 4 gallons of gas in it. which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete?  
a: the graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount. 
b: the graph will be continuous because we are not told a maximum value for the amount of gas. 
c: the graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas. 
d: the graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.
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The correct option is A. The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

Step-by-step explanation:

Consider the given information.

If the value of a function is integer then the graph will be discrete, otherwise it will be a continuous graph.

The amount of gas that Jayne added does not need to be an integer. So, the graph will be continuous.

For example, 16.7 gallons of gas or 19.9 gallons of gas, etc. She can get amounts that are not integers.

This can be represent as:

y = x + 4

Where, y is total amount of gas in tank and x is number of gallons she added.

As it is a linear function which is continuous everywhere.

Thus, the correct option is A. The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

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