2. The graph below shows data that was collected from a person's commute to work over the course of one month. The equation of the trend line is
\( y = - \frac { 6 } { 5 } x + 86 \)
If the time of the commute is \( 45 \) minutes, what would you expect the speed of the commute to be?
\(x = 34.16 \space mph\)
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.
