Question

Brainliest + Points Please explain..

Answer 1

Answer:

$0\leq x\leq42$

Step-by-step explanation:

We have been given that 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.

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:

$-0.06x+8.3>-0.02x+6.6$    

Now let us solve for x.

$-0.06x+0.02x+8.3>-0.02x+0.02x+6.6$

$-0.04x+8.3>6.6$

$-0.04x+8.3-8.3>6.6-8.3$

$-0.04x>-1.7$    

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:

$\frac{-0.04x}{-0.04}$

$x$

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

$0\leq x\leq42$

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