SOLUTION: PLEASE HELP ME PLEASE.............. IF C=B+1 AND P=4B+5,WHICH OF THE FOLLOWING IS AN EXPRESSION FOR P,IN TERMS OF C? (A)4C (B)4C-4 (C)C+1/4 (D)4C+1 (E)4C+9 PLEASE EXPLAIN ME

Question 924100: PLEASE HELP ME PLEASE..............
IF C=B+1 AND P=4B+5,WHICH OF THE FOLLOWING IS AN EXPRESSION FOR P,IN TERMS OF C?
(A)4C
(B)4C-4
(C)C+1/4
(D)4C+1
(E)4C+9
PLEASE EXPLAIN ME THE QUESTION WHAT THEY ARE ASKING FROM ME IN THIS QUESTION?
KINDLY DESCRIBE ME.....
Found 3 solutions by ewatrrr, Theo, MathTherapy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Please Do not use CAPS on this site...so distracting for the Tutors
p = 4b + 5 0r b =
c = b + 1

c - 1 = (p-5)/4
4c - 4 = p - 5
4c + 1 = p
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you have c = b + 1 and you have p = 4b + 5

they are asking you to express p in terms of c.

p is currently expressed in terms of b because the independent variable is b and the dependent variable is p.

that that means is you choose the value of b and the equation tells you the value of p.

the value of p is therefore dependent on the value of b.

for example, if b = 5, then p must be equal to 25 because 4 * 5 + 5 = 25.

you simply replaced b with 5 and got p = 4b + 5 becomes p = 4*5 + 5 = 25.

now you want to express p in terms of c rather than b.

you have another equation that will help you with that.

that equation is c = b + 1

solve that equation for b and you get b = c - 1

two equations you can now work with are:

p = 4b + 5

b = c - 1

since b = c - 1, you can now replace b with c - 1 in the equation of p = 4b + 5 to get:

p = 4 * (c-1) + 5

p is now expressed in terms of c.

simplify that equation to get:

p = 4c - 4 + 5

combine like terms to get:

p = 4c + 1

this is the final form of the equation that expresses p in terms of c.

you now have 2 equations for p.

the first equation expresses p in terms of b.

the second equation expresses p in terms of c.

the two equations are:

p = 4b + 5

p = 4c + 1

if you want confirm that these equations are equivalent, then do the following:

set b = 5

since you are given that c = b + 1, this means that c = 6.

you have b = 5 and c = 6

in the equation that expresses p in terms of b, replace b with 5 to get:

p = 4b + 5 becomes p = 4*5 + 5 which becomes p = 25.

in the equation that expresses p in terms of c, replace c with 6 to get:

p = 4c + 1 becomes p = 25 + 1 which becomes p = 25.

both equations get you the same answer so the equations must be equivalent to each other.

the first one expresses p in terms of b.

the second one expresses p in terms of c.

i believe your solution is selection D.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

PLEASE HELP ME PLEASE..............
IF C=B+1 AND P=4B+5,WHICH OF THE FOLLOWING IS AN EXPRESSION FOR P,IN TERMS OF C?
(A)4C
(B)4C-4
(C)C+1/4
(D)4C+1
(E)4C+9
PLEASE EXPLAIN ME THE QUESTION WHAT THEY ARE ASKING FROM ME IN THIS QUESTION?
KINDLY DESCRIBE ME.....

C = B + 1____B = C - 1 ------- eq (i)
P = 4B + 5 ----- eq (ii)
P = 4(C � 1) + 5 ------ Substituting C � 1 for B in eq (ii)
P = 4C � 4 + 5
P = 4C + 1 (CHOICE D)
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