Two life insurance companies determine their premiums using different formulas: Company A: p= 2a+24
Company B: p= 2.25a+13 where p represents the annual premium, and a represents the client's age. Use the graph to determine the age at which both companies charge the same premium.

The age at which both companies charge the same premium is 44 years

Step-by-step explanation:

Graph Solution to System of Equations

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

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