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The Cost of Sending an Overnight Package from New York CC

question 82

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The cost of sending an overnight package from New York to Atlanta is $9.80 for up to, but not including, the first pound and $3.50 for each additional pound (or portion of a pound) . A model for the total cost CC of sending the package is C=9.80+3.50C = 9.80 + 3.50x,\lfloor x \rfloor, x>0,x > 0, where xx is the weight of the package (in pounds) . Sketch the graph of this function. Note that the function x\lfloor x \rfloor is the greatest integer function.


Definitions:

Radioactive Particle

Particles emitted from nuclei as a result of nuclear instability, including alpha particles, beta particles, and gamma rays.

Penetrating Power

The ability of a form of radiation to pass through material, depending on the type of radiation and the material's characteristics.

Ionizing Radiation

Radiation with enough energy to remove tightly bound electrons from atoms, thus creating ions and causing molecular damage.

Alpha Decay

A type of radioactive decay in which an atomic nucleus emits an alpha particle (two protons and two neutrons bound together) and transforms into a different element.

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