6. Tessa and Vince go shopping at Bulk Bin.The graph shows the cost of banana chips.
a) Describe patterns shown on this graph. Does the graph show a linear relation? Explain.
b) Make a table of values from the graph.
c) Is it reasonable to include a point on the graph that shows the cost of \( 250 g \) of banana chips? Explain.
a) linear
The five points in the figure are connected to form a straight line
b)
c) reasonable
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.
