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If s/t = 2, then the value of which of the following can be
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15 Jun 2020, 01:27
15 Jun 2020, 01:27
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If s/t = 2, then the value of which of the following can be determined?
I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)
A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)
A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
Re: If s/t = 2, then the value of which of the following can be
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15 Jun 2020, 01:27
15 Jun 2020, 01:27
Expert Reply
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Re: If s/t = 2, then the value of which of the following can be
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15 Jun 2020, 05:58
15 Jun 2020, 05:58
Carcass wrote:
If s/t = 2, then the value of which of the following can be determined?
I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)
A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)
A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
I. 2t/s
If s/t = 2, then t/s = 1/2
So, 2t/s = 2(t/s) = (2)(1/2) = 1
So we CAN determine the value of 2t/s
II. (s - t)/t
Here, we can use a nice fraction property that says: (a - b)/c = a/c - b/c
We get: (s - t)/t = s/t - t/t = s/t - 1 = 2 - 1 = 1
So we CAN determine the value of (s - t)/t
III. (s - 1)/(t - 1)
Notice that, if s/t = 2, it COULD be the case that s = 2 and t = 1
When we plug these values into the expression we get: (s - 1)/(t - 1) = (2 - 1)/(1 - 1) = 1/0, which is undefined.
So we CANNOT determine the value of (s - 1)/(t - 1)
Answer: C
Cheers,
Brent
