Question

On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00, day 3, $2.00, etc. How much do

students earn on the ninth day of school?

Answer 1

$128

Explanation:

We can model this as an exponencial function, as the value earned each day doubles:

P = Po * r^t

Where P is the value after t days, Po is the inicial value and r is the rate.

In this case, we have r = 2 and Po = 0.25 (so for t=1 we will have P = 0.5).

The equation will be:

P = 0.25 * 2^t

Then, for t = 9, we have:

P = 0.25 * 2^9 = $128