### Home > PC3 > Chapter 5 > Lesson 5.1.1 > Problem5-4

5-4.

Noah Clue’s work for the following algebra problem is given below:

When the Foresthill Wildfire band returned from a recent competition, $24$ of the students attended school before realizing they had contracted a strong flu virus. The virus quickly spread and each day the number of students with the flu increased by an estimated $30\%$. How many people will have the flu after five days?

$y=24(0.3)^5$
$y=0.0582$

Explain completely what Noah’s mistake is and write a complete solution to the problem.

If there is an increase of $30\%$ each day, how many students will have contracted the flu after one day? Would $24(0.3)$ be the correct calculation?