Question

The equation y equals 4 times 6 to the power of t shows the number of infected people from an outbreak of the measles. The variable y represents the number of infected people, and t represents time in weeks. In how many weeks will the number of infected people reach 568?

Answer 1

Explanation:

By the question,

y = 4×6^t

So let y be 568,

568 = 4× 6^t

or, 6^t = 142

t =

`log_(6)(142)`

Approximately,

`log_(6)(142)`

weeks it takes for the infected people to be 568.