Question

Which equation represents y as a function of r?

I. A = 10r + 2
II. 12 = 12 - 12
III. 14 = 16
A) I and II only
B) II and III only
C) III only
D) I only

Answer 1

Only Equation I, A = 10r + 2, represents y as a function of r, when we let A be y. Neither equation II nor equation III can be rearranged to express y as a function of r.

Step-by-step explanation:

The student asked which equation represents y as a function of r. To identify this, each equation must be examined to see if it can be rearranged to express y explicitly in terms of r. Considering the provided options:

• Equation I, A = 10r + 2, can represent y as a function of r if we consider A to be y (i.e., y = 10r + 2).
• Equation II, 12 = 12 - 12, is incorrect and does not represent a function as it simplifies to 0 = 0 which gives us no information about y.
• Equation III, 14 = 16, is also not a function and is simply a false statement.

Therefore, the correct answer is D) I only, since only Equation I can accurately be defined as representing y as a function of r.