Explain why it makes sense for this situation to have a linear equation
1 answer:
Answer:
The line of best fit for your specific question is a linear equation.
Step-by-step explanation:
A linear equation has a constant rate of growth/decline and the growth/decline rate will never change in an linear equation.
If you draw a line that approximately splits between all the data plots, you will notice the line you drew is very close to the data points.
If the data plots was a quadratic, it would be very hard to draw a line of best fit.
Linear equations can easily be identified in a graph because it is a straight line.
Perhaps insert this equation into your graphing calculator or other graphing software online (like Desmos): y = 3x+2
A quadratic equation can also easily be identified in a graph because, in most cases, it looks like a U.
Take these examples: y = or y=
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Given:
The function is
where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,
Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.