Final answer:
The maximum number of 36.8 W fluorescent lights that can be installed on a 15 amp, 120 V branch circuit is 48 lights.
Step-by-step explanation:
To calculate the maximum number of fluorescent lights that can be installed on a 15 amp, 120 V branch circuit, we need to determine the total power capacity of the circuit and then divide it by the power consumed by each light. The total power (P) of a circuit is given by the formula P = V * I, where V is voltage and I is current. For a 15 amp, 120 V circuit, P = 120 V * 15 A = 1800 W. Since each fluorescent light consumes 36.8 W, we divide the total power capacity by the power per light: 1800 W / 36.8 W/light ≈ 48.91 lights. Since we cannot have a fraction of a light, we round down to the whole number of lights that can be installed, which is 48 lights.