Running ants: A scientist observed that the speed S at which certain ants ran was a function of T , the ambient temperature.17 He discovered the formula S = 0.2T − 2.7 , where S is measured in...

Running ants: A scientist observed that the speed S at which certain ants ran was a function of T , the ambient temperature.17 He discovered the formula

S = 0.2T − 2.7 ,

where S is measured in centimeters per second and T is in degrees Celsius.

a. Using functional notation, express the speed of the ants when the ambient temperature is 30 degrees Celsius, and calculate that speed using the formula above.

b. Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run.

c. If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature?