Question

a new play premieres on saturday, october 1, and 420 people attend. attendance then decreases by 30% each day. find the attendance on tuesday , october 4

Answer 1

Answer:

The attendance on tuesday, october 4, is of 144 people.

Step-by-step explanation:

The attendance after t days is given by the following equation:

$A(t) = A(0)(1-r)^{t}$

In which A(0) is the attendance on the first day and r is the daily decrease rate.

Premieres on saturday, october 1, and 420 people attend.

This means that $A(0) = 420$

Attendance then decreases by 30% each day.

This means that $r = 0.3$

So

$A(t) = A(0)(1-r)^{t}$

$A(t) = 420(1-0.3)^{t}$

$A(t) = 420(0.7)^{t}$

Find the attendance on tuesday , october 4

This is 4-1 = 3 days after saturday. So this is A(3).

$A(3) = 420(0.7)^{3} = 144$

The attendance on tuesday, october 4, is of 144 people.