Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
Answer:
Average rate of change:
Step-by-step explanation:
<u>Remember:</u>
The average rate of change of a function over an interval is
<u>Given:</u>
<u>Calculation:</u>
Therefore, the average rate of change of the function over the interval
is
.
Answer:
Step-by-step explanation:
1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration
2) In this case, we'll need to find the derivative applying the chain rule. As it follows:
3) To test it, just integrate: