Linear equation is equation in which each term has at max one degree. The linear equation of the that can represent the scenario is P(w)=8w+9.
<h3>What is linear equation?</h3>
Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
Given that the table represents the number of rats in a population to time in weeks. Now, if the population is represented by P and number of weeks is represented by w, and the relation between the two is linear, then the rate of increment in the population of rats will be the slope of the linear relationship. Therefore, the rate of growth is,
Rate of growth = Slope, m = (33 - 25)/(3 - 2) = 8
Now, for the given scenario the initial population of the rats will be the y-intercept of the linear relationship. Therefore, the value of the y-intercept will be,
y = mx + c
25 = 8(2) + c
25 = 16 + c
25 - 16 = c
c = 25 - 16
c = 9
Hence, the linear equation of the that can represent the scenario is P(w)=8w+9.
Learn more about Linear Equations here:
brainly.com/question/27465710
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