Question

Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.a. f(c)=13p+53
b. f(c)=3c+5
c. f(p)=13p+53
d. f(p)=3c+5

Answer 1

Since you're told c is the independent varialbe, you need to solve your equation for p:

          6c = 2p - 10

  6c + 10 = 2p

    3c + 5 = p

Now you need to use function notation.  Remember that in function notation, you need to use the variable consistently.

    f(p) = something with c doesn't match up.

You need

    f(c) = something with c in it

Even without doing the first initial work, the only answer that makes c the independent variable is Answer B.  But it's also good that Answer B matches our equation above.

Answer 2

Answer: answer is B

Step-by-step explanation: