This graph shows transformations between
f(x) = 10^x and g(x)= a •10^x

When we have a graph of a function y = f(x) = 10^x

A vertical dilation can be made by multiplying the function by a scale factor a.

Then the dilated graph is y = g(x) = a*10^x

This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).

You can look for easy points to see which is the correct graph.

For example, when x = 0, f(0) = 10^0 = 1

and the dilated graph: x = 0, g(0) = a*10^0 = a

So other characteristic of the new graph is that passes trhough the point (0, a)

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)