For all real numbers b and c such that the product of 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. None of the above

Respuesta :

Riia

IN this question, it is given that

For all real numbers b and c such that the product of c and 3 is b.

That is

[tex] 3c=b [/tex]

Solving for c by dividing both sides by 3

[tex] c = \frac{b}{3} [/tex]

And we have to find an expression , that represents the sum of c and 3 in terms of b. And sum of c and 3 is

[tex] = c+3 [/tex]

Substituting the value of c

[tex] = \frac{b}{3} +3 [/tex]

So the correct option is the last option .