Temperature in oven related rate

[jorrty]

Homework Statement

A turkey is put in an oven maintained at a constant temperature of 210$$^{\circ}$$C. At time t=30 minutes, the turkey is 135$$^{\circ}$$C and is increasing at a rate of 1.8$$^{\circ}$$C/minute. The model for the turkey's temperature is

$$T(t) = 210 - ae^{-bt}$$

Find the values of a and b.

Homework Equations

$$T(t) = 210 - ae^{-bt}$$

The Attempt at a Solution

I'm not really sure where to begin here. I could set 135deg on the left side, let t=30, and then solve for b in terms of a. Would I then use implicit differentiation to solve for a? Aren't a and b constants? Any help is much appreciated.

 

[rootX]

is increasing at a rate of 1.8LaTeX Code: ^{\\circ} C/minute

so dT/dt = 1.8 C/min at t= 30 mins

Yes, a and b are constants. There's only one input: "t".