1. TEMPERATURE The graph shows the temperature in a city during different hours of one day.
a. Find the rate of change in temperature between \( 6 \) A.M. and \(7 \) A.M. and describe its meaning in the context of the situation.
b. Find the rate of change in temperature from \( 1 \) P.M. and \( 2 \) P.M. and describe its meaning in the context of the situation.
10 The time increases by an hour and the temperature increases by 10 degrees
-5 The time increases by one hour and the temperature decreases by five degrees
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.
