Question

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater;

B. the quantity in Column B is greater;

C. the two quantities are equal;

D. the relationship cannot be determined from the information given.

$0<\text{s}<\frac{3}{4}$

Column A Column B

$1$ $3\text{s}$

Short answer

The relationship between the quantity in Colum A and the quantity in Column B cannot be determined. So,the correct option isD.

Step-by-step solution

- Consider the two quantities.

The range of $s$is:

$0<s<\frac{3}{4}$

The quantity in column A is:

$1$

The quantity in column B is:

$3s$

- Evaluate the two quantities.

Write the range of s as:

$0<s<\frac{3}{4}=0<s<0.75$.

The quantity in column B is $3s$.

Minimum value of s is $0$and maximum value of s is $0.75$.

So, the range of $3s$is:

$0<s<0.75=0<3s<2.25$

Now the quantity in column B is 1.

As $3s$can take any value from 0 to $2.25$. And no specific value of s is given. So, no specific value for 3s can be obtained. Thus, it cannot be said which quantity is greater and hence the relationship cannot be determined.

- State the conclusion.

The relationship between the quantities cannot be determined. Therefore, option D is correct.