The total home attendance for a professional basketball team in 2010 was about 8.2 x 10 5 (scientific notation) and in 2008 was about 7.175 x 10 5 how many times as Large was the attendance in 2010 as 2008

Respuesta :

Answer:

1.115 times larger.

Step-by-step explanation:

Given:

The total home attendance for a professional basketball team in 2010 was about = [tex]8.2\times10^{5}[/tex]

The total home attendance for a professional basketball team in 2008 was about = [tex]7.175\times10^{5}[/tex]

Question asked:

How many times as Large was the attendance in 2010 as 2008 ?

Solution:

To calculate number of times the attendance is larger in 2010 than in 2008, we will simply divide total home attendance in 2010 by total home attendance in 2008,

[tex]\frac{8.2\times10^{5} }{7.175\times10^{5} } \ [\frac{ a^{m}}{a^{n} } =a^{m-n} ] \\\\[/tex]

[tex]\frac{8.2\times10^{5-5} }{7.175} \\ \\ \frac{8\times10^{0} }{7.175} \ [a^{0} =1]\\ \\ \frac{8}{7.175} = 1.115[/tex]

Thus, the total home attendance in 2010 is 1.115 times larger than in 2008.