Answer :
2 + .05x = 1.5 +.1x .5 = .05x x =10 is numbere when costs are equal So the 11th check makes Bank A cheaper
Answer:
Thus, the 11th check will make Bank A cheaper.
Step-by-step 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 [tex]y=0.05x+2[/tex].
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 [tex]y=0.10x+1.5[/tex].
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 $) [tex]y=0.05x+2[/tex] [tex]y=0.10x+1.5[/tex]
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,