Solve the problem.
-Yearly sales of an electronic device S(t), in millions of dollars, tyears after 2009 can be estimated by
$$S(t)=300 \cdot 2^{t}$$
Determine the year in which sales reached $\$ 1500$ million.
A) About 2011
B) About 2010
C) About 2009
D) About 2012

Question

Quizplus · Accepted Answer

To find the year when sales reached $1500 million, set $S(t) = 1500$ and solve for $t$:$$1500 = 300 \cdot 2^{t}$$$$5 = 2^{t}$$Taking the logarithm base 2 of both sides gives:$$t = \log_2{5} \approx 2.32$$Since $t$ is the number of years after 2009, adding this to 2009 gives approximately 2011.

Solve the Problem S(t)=300⋅2tS(t)=300 \cdot 2^{t}S(t)=300⋅2t Determine the Year in Which Sales Reached

Solve the Problem $S(t)=300 \cdot 2^{t}$ Determine the Year in Which Sales Reached