math help on this problem. step by step.

Question

There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?

Answer 1

f(x)=ab ^x is the general from for an exponential equation.

Where a is are starting amount, b is growth or decay rate, x is the time, f(x) is the number infected.

Remember when we represent fractions as decimals we divide by 100. So 20 percent would be represented by .2. However, the amount of infected is growing by 120 percent each hour.