Answer:
<h2>D. Solve 3e^0.04x= 4.</h2>
Step-by-step explanation:
Given the population increasing according to the exponential function defined by y = 3e^0.04x, where y is in millions and x is the number of years, to determine when the population will reach 4 million, the following steps must be carried out.
Since y is in millions, we will first substitute y = 4 into the modeled equation as shown;
4 = 3e^0.04x
<em>Therefore to calculate x, we need to solve the expression 3e^0.04x = 4 for the value of x and this is arrived at by simply substituting y = 4 into the given equation.</em>
To get x;
<em>3e^0.04x = 4 </em>
<em>e^0.04x = 4/3</em>
<em>taking the ln of both sides</em>
<em>lne^0.04x = ln1.333</em>
<em>0.04x = 0.287</em>
<em>x = 0.287/0.04</em>
<em>x≈ 3.59 years</em>