Help with algebra 2 please!

Question

24) The voltage used by most households can be modeled by a sine function. The maximum voltage is 120 volts, and there are 60 cycles every second. Which equation best represents the value of the voltage as it flows through the electric wires, where t is time in seconds? (1) V =120sin(t) (2) V =120 sin (60t) (3) V =120sin(60πt) (4) V =120 sin (120πt)

Answer 1

It must be an equation of the form

 

V(t)  = V_max sin(ωt) = 120 sin(ωt)

 

ω = (60 cycles per second) * (2π radians per cycle) = 120π radians/s

 

V(t) = 120 sin(120πt)

 

Answer (4) is correct.