Analyzing Graphs

The value of some cell phones changes exponentially after the initial release. Here are graphs showing the depreciation of Phone A and Phone B one, two, and three years after they were released. Which phone was more expensive when it was first released?

How does the value of each phone change with every passing year?

Which phone loses its value faster?

If Phone A has a decay factor of $$\frac{3}{5}$$ , what will the value be 4 years after its initial release?

(a)  

If Phone B has a decay factor of $$\frac{3}{4}$$ , what will the value of the phone be 4 years after its initial release?

(a)  

Write an equation for the value (v) of Phone A if it was $1000 when it was initially released and has a decay factor of $$\frac{3}{5}$$ each year (t).

(a)  

Write an equation for the value (v) of Phone B if it was $840 when it was initially released and has a decay factor of $$\frac{3}{4}$$ each year (t).

(a)  

The value of a company’s stock doubles approximately every 4 years.

A car loses $$\frac{1}{4}$$ of its value every year after it is first purchased.

The value of a company’s stock triples approximately every 8 years.