The number of infected people will reach 568 in approximately 4 weeks
<h3>Linear equation and function</h3>
Exponential equations are inverse of logarithmic equation and are represented by the equation below:
y = ab^x
where
a is the base value and x is the exponent
Given the equation that shows the number of infected people from an outbreak of the measles as:
y = 4(6)^t
If the number of infected people reach 568, hence;
568 = 4(6)^t
568/4 = 4(6)^t/4
6^t = 568/4
6^t = 142
Take the natural logarithm of both sides
ln(6^t) = ln142
t = ln142/ln6
t = 4.37
Hence the number of infected people will reach 568 in approximately 4 weeks
Learn more on exponential equation here: brainly.com/question/12940982
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