Question

the total number of public electric charging units available for hybrid vehicles has increased exponentially since 2006. the number of outlets a(t) at these alternative fueling stations t years after 2006 can be approximated by a(t)=225(2.22)^t, where t = 0 corresponds to 2006. how many outlets were available in 2008, in 2010, in 2011? the number of outlets available in the year 2008 was approximately 1109 (simplify your answer. round to the nearest integer as needed.) the number of outlets available in the year 2010 was approximately (simplify your answer. round to the nearest integer as needed.)

Explanation:

Step1: Determine the value of \( t \) for 2010

Since \( t = 0 \) corresponds to 2006, for 2010, \( t=2010 - 2006=4 \)

Step2: Substitute \( t = 4 \) into the formula \( A(t)=225(2.22)^{t} \)

$$
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$$

Step3: Round the result to the nearest integer

Rounding \( 5387.557536 \) to the nearest integer gives \( 5388 \)

Answer:

The number of outlets available in the year 2010 was approximately \( 5388 \)