Question

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?

The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.
The graph will be continuous because we are not told a maximum value for the amount of gas.
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.
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.

Answer 1

The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

Explanation:

Answer 2

Continuous data is information that can be measured on a continuum or scale. Continuous data can have almost any numeric value and can be meaningfully subdivided into finer and finer increments, depending upon the precision of the measurement system.
Continuous data need not be only integers, it consists of both integers, decimals and fractions.

Discrete data is information that is based on counts. Only a finite number of values is possible, and the values cannot be subdivided meaningfully.
Discrete data consist of only integers. It is usually used to discribe the number of items.

The amount of gasoline added into a tank need not be an integer, it can be subdivided into parts. For example, 1.5 gallons of gasoline can be added into the tank.

Thus, the amount of data added into a tank is not a dicrete data but a continuos data.

Therefore, 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 because the amount of gas that she added to the tank does not need to be an integer amount.