Which would most likely be graphed using a continuous graph? check all that apply.

- total cost, c, of buying b cans of beans

- total cost, c, of buying g pounds of broccoli

- speed of a car, s, as it accelerates over time, t

- number of stamps, s, needed to mail p postcards

- total distance, d, that has been driven over time, t

- decrease in outside temperature, f, one evening over time, t

The correct options are:

This question is solved classifying the input variables as discrete or continuous.

If the input variable is continuous, a continuous graph is used.

- total cost, c, of buying b cans of beans

Cans of beans is the input, and the number of cans is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.

- total cost, c, of buying g pounds of broccoli

Pounds can assume decimal values, so it is a continuous variable, and a continuous graph is used, and this option is checked.

- speed of a car, s, as it accelerates over time, t

- total distance, d, that has been driven over time, t

- decrease in outside temperature, F, one evening over time, t

Time can assume decimal values, like 0.5 seconds, 0.5 hours, so it is a continuous variable, and a continuous graph is used, and these options is checked.

- number of stamps, s, needed to mail p postcards

The number of postcards is the input, and the number of postcards is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.

A similar example is found at link

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step-by-step explanation:

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