Assume the Amount of Paper Being Recycled Quadruples Every Year

question 156

Essay

Assume the amount of paper being recycled quadruples every year.
(a)Make a table of the factor of increase in the amount of paper being recycled at each year for 0 to 3 years.For each year,write an expression for the factor of increase as a power of some base.
(b)What base did you use? How does that base relate to the problem?
(c)Use your table to graph the factor of increase as a function of years.
(d)Use your graph to estimate when the recycling will have grown by a factor of 50.

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Definitions:

Pacific Ocean

The largest and deepest of the world's ocean basins, extending from the Arctic in the north to the Southern Ocean in the south.

Seafloor Spreading

The process by which new oceanic crust is created at mid-ocean ridges as tectonic plates diverge, allowing magma from the mantle to cool and solidify.

Lesser Antilles

A chain of smaller islands stretching from the Virgin Islands to Trinidad and Tobago, separating the Caribbean Sea from the Atlantic Ocean.

Subduction Zone

A region where one tectonic plate plunges beneath another into the earth's mantle, often generating earthquakes and volcanic activity.