In 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.What was the daily average temperature in Darrtown in 2013?A.62°FB.64°FC.68°FD.74°F (thank you in advanced for who helps i was having trouble with this question)

Respuesta :

Solution

In 2011 The temperature in Darrtown is

[tex]65^{\circ}F[/tex]

The temperature increased by 3% in 2012

The temperature will be

[tex](1+\frac{3}{100})\times65=(1.03)(65)=66.95^{\circ}F[/tex]

The temperature decreased by 4.5% in 2013

The temperature will be

[tex]\begin{gathered} (1-\frac{4.5}{100})\times66.95=0.955\times66.95=63.93725 \\ \\ (1-\frac{4.5}{100})\times66.95=64^{\circ}F\text{ (to the nearest whole number)} \end{gathered}[/tex]

Therefore, the temperature in 2013 is 64 degrees Fareheint

Option B