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AssignmentMultiple Select

Writing and Graphing Equations in Two Variables

Question 1 • TN-Algebra I

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

Answer
A
total cost, c, of buying b cans of beans
B
total cost, c, of buying g pounds of broccoli
C
speed of a car, s, as it accelerates over time, t
D
number of stamps, s, needed to mail p postcards
E
total distance, d, that has been driven over time, t
F
decrease in outside temperature, F, one evening over time, t

Explanation

A continuous graph is appropriate when the input and output can change smoothly and take many values between whole numbers. Broccoli can be bought by fractional pounds, and a car’s speed, distance driven, and outside temperature can change continuously over time. Cans of beans and stamps are counted in whole numbers, so those situations are better represented by discrete graphs.

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