The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period. What is a cosine function that models this reaction?

f(t) = −30 cos pi over 3t + 20
f(t) = −60 cos pi over 3t + 30
f(t) = 30 cos 6t + 20
f(t) = 60 cos 6t + 30

Question

The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period. What is a cosine function that models this reaction?

f(t) = −30 cos pi over 3t + 20
 f(t) = −60 cos pi over 3t + 30
 f(t) = 30 cos 6t + 20
 f(t) = 60 cos 6t + 30

laughoutloud · Answer

@jim_thompson5910

jim_thompson5910 · Answer

what is the range from -10 to +50 ?

laughoutloud · Answer

60?

jim_thompson5910 · Answer

yes, now we cut that in half to get 60/2 = 30

jim_thompson5910 · Answer

30 is the amplitude

jim_thompson5910 · Answer

what is the midpoint from -10 to 50 ?