To calculate: The number of hours after which both Andre and Paul will charge the same amount.
Answer to Problem 15SGR
The number of hours after which both Andre and Paul will charge the same amountis
Explanation of Solution
Given information:
Service fee charged by Andre is
Formula used:
The slope intercept of a line is
Calculation:
It is provided that service fee charged by Andre is
Let both Andre and Paul work for x hours and get y amount.
Equation for Andre is modelled as
Equation for Paul is modelled as
Consider the system of equations
Plot the equations
Red line depicts the equation
The graph of the equations intersect at
Therefore, the solution set of the system of equations is
To verify substitute the point
For the equation
For the equation
Both the equations satisfy the point.
Thus, the number of hours after which both Andre and Paul will charge the same amount is
Chapter 3 Solutions
Algebra 2
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