Question

bank a charges a monthly service fee of $2.00 and a per check fee of 0.05, while bank B charges a monthly service fee of $1.50 and a per - check fee of $0.10 which of these number of monthly checks will cause bank a to charge less in fees thank bank b

Answer 1

2 + .05x = 1.5 +.1x .5 = .05x x =10 is numbere when costs are equal So the 11th check makes Bank A cheaper

Answer 2

Thus, the 11th check will make Bank A cheaper.

Explanation:

Let the number of checks = x.

Bank A charges monthly fee of $2 and per-check fee of $0.05.

The equation representing the account charge (y) of Bank A is
`y=0.05x+2`.

Similarly, Bank B charges monthly fee of $1.50 and per-check fee of $0.10.

The equation representing the account charge (y) of Bank A is
`y=0.10x+1.5`.

Substituting the values of x= number of checks, the table for the bank charges of each bank is,

Number of checks (x) Bank A (in $) Bank B (in $)
`y=0.05x+2`
`y=0.10x+1.5`

0 2 1.5

1 2.05 1.6

2 2.1 1.7

3 2.15 1.8

4 2.2 1.9

5 2.25 2

6 2.3 2.1

7 2.35 2.2

8 2.4 2.3

9 2.45 2.4

10 2.5 2.5

11 2.55 2.6

So, from the table, we see that,

The 11th check will make Bank A cheaper.