List the domain and range of the relation. {(5,-5), (7,7), (0,-5), (7,1) (5,5)}
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Answer:
The slope of the line would be 0.00910 in a logarithm graphic.
Step-by-step explanation:
Statement is incomplete. The correct sentences are:<em> The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800) is modeld by the following function: N = 0.892e^0.00910t. If you were to graph in ln (N) versus t, what would be the slope of the line?</em>
Let be , where
is the number of humans living on Earth, measured in billions, and
is the time, measured in years since 1800. As we notice, this is an exponential function and its slope is not constant and such expression have to be linearized by using a logartihm graphic. We add logarithms on each side of the formula and simplify the resulting expression by means of logarithmic properties:
In a nutshell, the slope of the line would be 0.00910 in a logarithm graphic.