Bank A charges a monthly service fee of $5.00 and a per-check fee of $0.15, while Bank B charges a monthly service fee of $2.50 and a per-check fee of $0.35. Which of these numbers of monthly checks will cause Bank A to charge less in fees than Bank B?
A.5 B.19 C.10 D.11

Question

photon336 · Answer

$$Bank~A~y= 5.00+0.15c$$

$$Bank~B~y = 2.50+0.35c$$

nikki17_guess · Answer

i don't get it

photon336 · Answer

Then what we can do is set up an inequality

photon336 · Answer

Bank A < Bank B 

5.00+0.15c < 2.50+0.35c 
           
2.50+0.15c < 0.35c
        -0.15c      -0.15c
 
2.50 < 0.20c 

12.5 < c 

or 

c > 12.5

photon336 · Answer

so for bank a to charge a lower fee than bank B 

you need to have deposited more than 13 checks.

photon336 · Answer

@nikki17_guess

nikki17_guess · Answer

oh ok thank you cx

photon336 · Answer

no problem