Define a variable and write an expression for the phrase.

the quotient of 6 times a number and 16

a.(16x) / 6

b.(6x) / 16

c.96x

d.x / 96

What do you think?

I DON'T KNOW. b.???

Right! :-)

The quotient of 3 times c and 6 is 7 times c

To define a variable and write an expression for the phrase "the quotient of 6 times a number and 16," you can follow these steps:

1. Define a variable: Let's use the variable "x" to represent the unknown number.

2. Identify the keywords in the phrase: The keywords in the phrase are "quotient," "6 times," "a number," and "16."

3. Determine the order of operations: In this case, you need to perform the multiplication (6 times the number) before the division (quotient by 16).

4. Write the expression: Based on the above, you can write the expression as follows:
- Quotient = Division
- 6 times a number = 6 * x (or 6x)
- Divisor = 16
Therefore, the expression is (6x) / 16.

The correct answer is b. (6x) / 16.