Question

Ciara modeled the relationship between the power generated by an electrical ˚uit PPP (in watts) and the ˚uit's current CCC (in amperes) as P=-15C(C-8)P=−15C(C−8)P, equals, minus, 15, C, left parenthesis, C, minus, 8, right parenthesis.Ciara modeled the relationship between power (P) and current (C) as

P=−15C(C−8). What does this equation represent?
a. Linear relationship
b. Quadratic relationship
c. Exponential relationship
d. Inverse relationship

Answer 1

Ciara's model, P = -15C(C - 8), shows a quadratic relationship between power (P) and current (C), as indicated by the current being squared in the equation.

Step-by-step explanation:

The equation Ciara modelled, P = -15C(C - 8), represents the relationship between the power generated by an electrical circuit and the circuit's current. This equation is of the form P = aC^2 + bC + c, which is a quadratic equation since the variable C (current) is raised to the second power. Therefore, this equation represents a quadratic relationship.

It's important to note that this model is related to electrical power, which in general, can also be described by the expressions P = V^2/R, P = IV, and P = I^2R, where V is the voltage and R is the resistance. However, the given equation specifically shows power as a function of current with a particular form that indicates a quadratic relationship between these two quantities.