Tofind:The system of equations that gives the amount in each over the time usingthe balance ( b ) −time ( t ) graphs of two accounts, and find the time when two bank accounts will have same balance.
Answer to Problem 39PPE
The balance-time equation of accounts 1 and 2 are
Two bank accounts will have same balance at 16th week.
Explanation of Solution
Given information:
The graphs showing balance b in dollars, and time t (in weeks) of two accounts are given in Fihure-1 here.
Formulaused:
The equation of line passing through two points
Calculations:
The b - t graph of account 1 passes through points
The equation of account 1 is
The b - t graph of account 2 passes through points
The equation of account 1 is
Now, two bank accounts will have same balance at 16th week when
Thus, when two bank accounts will have same balance at 16th week.
Conclusion:
The balance-time equation of accounts 1 and 2 are
Two bank accounts will have same balance at 16th week.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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