Certainly! Let's work through the problem step-by-step.
Given:
- Bank A charges a [tex]$15 monthly fee and an additional $[/tex]0.90 per transaction.
- Bank B charges a [tex]$35 monthly fee with unlimited transactions.
- Latoya makes 25 transactions in a month.
### Step-by-Step Solution:
#### Part (a):
1. Calculate the total cost for Bank A:
- Monthly fee for Bank A: $[/tex]15
- Cost per transaction for Bank A: [tex]$0.90
- Number of transactions: 25
\[
\text{Total cost for Bank A} = 15 + (0.90 \times 25)
\]
Calculate the transaction cost:
\[
0.90 \times 25 = 22.5
\]
Now add the monthly fee:
\[
\text{Total cost for Bank A} = 15 + 22.5 = 37.5
\]
So, the cost for Bank A is \( \$[/tex] 37.5 \).
2. Calculate the total cost for Bank B:
- Monthly fee for Bank B: [tex]$35
- Unlimited transactions, so no additional cost.
\[
\text{Total cost for Bank B} = 35
\]
So, the cost for Bank B is \( \$[/tex] 35 \).
Fill in the answers for part (a):
- Bank A: [tex]\( \$ 37.5 \)[/tex]
- Bank B: [tex]\( \$ 35 \)[/tex]
#### Part (b):
1. Determine which bank is cheaper:
- We have calculated the total cost for Bank A: [tex]\( \$ 37.5 \)[/tex]
- Total cost for Bank B: [tex]\( \$ 35 \)[/tex]
- Compare the costs:
Bank B is cheaper because [tex]\(37.5 > 35 \)[/tex].
2. Calculate the difference in cost:
[tex]\[
\text{Difference} = 37.5 - 35 = 2.5
\][/tex]
So, Bank B is [tex]\( \$ 2.5 \)[/tex] cheaper than Bank A.
Fill in the answers for part (b):
- Cheaper Bank: Bank B
- Bank B is [tex]\( \$ 2.5 \)[/tex] cheaper than Bank A.
### Summary:
(a)
- Bank A: [tex]\( \$ 37.5 \)[/tex]
- Bank B: [tex]\( \$ 35 \)[/tex]
(b) For the given month:
- Bank B is [tex]\( \$ 2.5 \)[/tex] cheaper than Bank A.
