A balloon, with a final volume of 40 cm3, took 4 min to fill. At what rate was the balloon filled?
Choose exactly two answers that are correct.
A.
B.
40 cm3 = 4 min • r
C.
40 cm3 • r = 4 min
D.
r – 4 h = 14 in.
rate of filling = 40 cm^3/4 min
= 10 cm^3/min
So, only B appears correct.
C would work, if you consider 0.1 min/cm^3 a rate. Usually rates are written with time in the denominator. If, however, you want to determine the time needed to fill 1 cm^3, then C will work.
D and B are correct
To find the rate at which the balloon was filled, we can use the formula:
Rate = Volume / Time
Let's go through the options and see which ones correctly represent this formula:
A. This option doesn't provide any information or equation, so it cannot be the correct answer.
B. This equation, 40 cm3 = 4 min • r, is the correct representation. The volume of the balloon (40 cm3) is equal to the time taken to fill it (4 min) multiplied by the rate (r). So, option B is one of the correct answers.
C. This equation, 40 cm3 • r = 4 min, is not the correct representation. It suggests that the volume multiplied by the rate equals the time taken, which is not accurate. So, option C is not correct.
D. This equation, r – 4 h = 14 in, is unrelated to the balloon problem and involves different units of measurement. It is not relevant here, so option D is not correct.
In conclusion, the correct answers are:
A. None of the above (since option A doesn't provide any information)
B. 40 cm3 = 4 min • r