Brainliest + points explain..
yup i'm giving 34 points for this question!

checking account earnings at long's bank are expressed by the equation, i = -0.06x + 8.3

the earnings at fellow's bank are modeled by
i = -0.02x + 6.6

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.

Step-by-step explanation:

We have been given that 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.

To find the number of checks that will generate more earnings at Long's bank then Fellow's Bank, we will set an inequality as:

Now let us solve for x.

Now let us divide both sides of our inequality by -0.04. Since dividing by a negative number swaps sign of inequality, so our inequality will be:

Since the number of checks needs to be integer, so number of checks will be:

Therefore, the number of checks between 0 to 42 checks will generate more earnings income at Long's Bank than Fellow's Bank.