Checking account a charges a monthly service fee of $25 and a wire transfer fee of $6.50, while checking account b charges a monthly service fee of $16 and a wire transfer fee of $8.50. which checking account is the better deal if four wire transfers are made per month?

Checking account B

Step-by-step explanation:

Given :

Checking account A charges a monthly service fee of $25 and a wire transfer fee of $6.50.

Checking account B charges a monthly service fee of $16 and a wire transfer fee of $8.50.

To Find : Checking account is the better deal if four wire transfers are made per month.

Solution :

Let x be the total no. of wire transfer in a month

Let y be the total cost per month.

For checking account A

A monthly service fee =  $25

A wire transfer fee = $6.50.

A wire transfer fee of x wires = $6.50x

So, Total cost y of checking account A  =  monthly service fee + wire transfer fee of x wires

⇒ y = $25+$6.50x   (a)

Since we are given that four wire transfers are made per month

So, put x = 4 in (a)

⇒y = $25+$6.50*4

⇒y = $51

Thus,Total cost y of checking account A = $51

For checking account B

A monthly service fee =  $16

A wire transfer fee = $8.50.

A wire transfer fee of x wires = $8.50x

So, Total cost y of checking account B =   monthly service fee + wire transfer fee of x wires

⇒ y = $16+$8.50x  (b)

Since we are given that four wire transfers are made per month

So, put x = 4 in (b)

⇒y = $16+$8.50*4

⇒y = $50

Thus, Total cost y of checking account B = $50

Since checking account A total cost is $51 and checking account B total is $50

So, account B is the better deal as its total cost is less than total cost of account B