To find the range of checks for which a checking account at Long's Bank will generate more earnings income than one at Fellow's Bank, we need to compare the two earnings equations.
The earnings at Long's Bank are given by y = 0.8x + 300.
The earnings at Fellow's Bank are given by y = 0.9x + 200.
To find the range of checks where Long's Bank earns more income than Fellow's Bank, we need to compare the two equations and find the values of x for which Long's Bank's earnings are greater than Fellow's Bank's earnings. This can be done by setting the two equations equal to each other and solving for x:
0.8x + 300 = 0.9x + 200
0.1x = 100
x = 1000
Therefore, for any number of checks greater than 1000, a checking account at Long's Bank will generate more earnings income than one at Fellow's Bank.
Checking account earnings at
Long's Bank are expressed by
the equation,
.
The earnings at Fellow's Bank
are modeled by
.
In both cases, x is the number of
checks written.
For what range of checks will a
checking account at Long's Bank
generate more earnings income
than one at Fellow's Bank?
Show your work or explain how
you got your answer.
1 answer