Question

A chemistry student mixes two solutions to study the properties of the resulting mixture. The temperature of the new solution is given by the function
T = 24t − 2t2 + 5, where T is the temperature in degrees Celsius and t is the time elapsed in seconds after the solutions are mixed. What is the time interval that the temperature of the solution will be at least 69°C?
a.[2, 6]
b.[3, 8]
c.[5, 8]
d.[4, 8]

Answer 1

HI!!`

Answer 2

is it really \[T=24t-2t^2+5\]?

Answer 3

yes @misty1212

Answer 4

OK - this is maths

the equation is a standard quadratic

T = -2t^2 +24t + 5

You want to know when T=69

so 69 =-2t^2 +24t + 5



Which methods do you know to solve quadratics?