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

Respuesta :

Answer:

Option E) [tex]\frac{b}{3}+3[/tex] is correct

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

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

Step-by-step 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

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

Now substitute the value [tex]c=\frac{b}{3}[/tex] in c+3 we get

[tex]c+3=\frac{b}{3}+3[/tex] which represents in terms of b

Therefore the expression which represents the sum of c and 3 in terms of b is [tex]\frac{b}{3}+3[/tex]

Therefore option E) [tex]\frac{b}{3}+3[/tex] is correct