\(26 \) June is driving from Brookline, Massachusetts, to Brooklyn, New York. The cities are
\( 200 \) miles apart. Pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of \( 50 \) mph the entire way. Consider the following function. o The distance June has traveled, \( c \) , is a function of her driving time, \( t \) . (b) What is the range of this function? Answer: \( \square \leq c \leq \square\)
\(0\ \ \ \ \ \infty\)
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.
