¿Todavía tienes preguntas de matemáticas?

Pregunte a nuestros tutores expertos
Algebra
Pregunta

5. Student attendance, \( A , \) at City High's fo...

5. Student attendance, \( A , \) at City High's football games has been dropping according to the equation \( A = 1200 ( \frac { 9 } { 10 } ) ^ { n } , \) where \( n \) is the number of years since 

\( 2000 . \) 

a) What is the decay factor?

 b) Determine the number of students that attended in \( 2000 . \) 

c) Determine the number of students that attended in \( 1999 . \) 

d) Determine the number of students that attended in \( 2005 .\) 

Answer

5. 

a) 

Decay factor is = 1 - 9 / 10 = 1 / 10

 

b)

When n = 0,

 \(A= 1200(\frac{9}{10})^0\\= 1200\)

 

c)

When n = -1,

\(A = 1200(\frac{9}{10})^{- 1}\\A = 1200 (\frac{10}{9}) \approx 1333\)

 

d)

When n = 5,

\(A = 1200(\frac{9}{10})^5\\ = 708\)

 

Solución
View full explanation on CameraMath App.