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 bank b

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 .

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 .

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 $)                                                                                   

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,

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

the correct answer would be the third option