Which would most likely be graphed using a continuous graph? Check all that apply.total cost, c, of buying b cans of beanstotal cost, c, of buying g pounds of broccolispeed of a car, s, as it accelerates over time, tnumber of stamps, s, needed to mail p postcards total distance, d, that has been driven over time, tdecrease in outside temperature, F, one evening over time, t
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 represents quantities that can change smoothly and take values between whole numbers. The cost of broccoli can vary with fractional pounds, and a car’s speed, driving distance, and outside temperature can all change continuously over time. Cans of beans and stamps are counted in whole numbers, so their quantities—and the related costs or stamp counts—change in steps rather than continuously.
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