Question

For all real numbers b and c such that the product and c and 3 is b, which of the following expressions represents the sum of c and 3 in terms of b?

A. b + 3
B. 3b + 3
C. 3(b + 3)
D. (b + 3)/3
E. b/3 + 3

Answer 1

Option E)
`(b)/(3)+3` is correct

The expression which represents the sum of c and 3 in terms of b is

`(b)/(3)+3`

Explanation:

Given that b and c are real numbers such that

the product of c and 3 is b

That is given by (c)(3)=b

3c=b

To find the expression which represents the sum of c and 3 in terms of b:

the sum of c and 3 =c+3

From given 3c=b

`c=(b)/(3)`

Now substitute the value
`c=(b)/(3)` in c+3 we get

`c+3=(b)/(3)+3` which represents in terms of b

Therefore the expression which represents the sum of c and 3 in terms of b is
`(b)/(3)+3`

Therefore option E)
`(b)/(3)+3` is correct