Question

Debbie's bank offers an online bill pay service. For this, the bank charges $2.25

per month plus $0.10 per bill paid using the service. How many bills does she pay

each month if the charges are always between $3.50 and $5.00? (Note: She is not

allowed to pay part of a bill.)


please write as an inequality and show work

Answer 1

Let's call the number of bills paid per month as "x"

We know that the total cost is:

$2.25 (fixed monthly fee) + $0.10x (cost per bill paid)

We also know that the total cost is between $3.50 and $5.00

Therefore, $3.50 <= $2.25 + $0.10x <= $5.00

To solve for x, we can first isolate x by subtracting $2.25 from both sides of the inequality:

$1.25 <= $0.10x <= $2.50

Now we can divide both sides of the inequality by $0.10 to get:

12.5 <= x <= 25

It means that the number of bills paid per month using the service is between 12 and 25 bills, Debbie can pay at least 12 bills and at most 25 bills.

Answer 2

We know that the bank charges $2.25 per month plus $0.10 per bill paid using the service. Let x be the number of bills paid using the service.

The total cost of the service is:

Cost = 2.25 + 0.10x

We also know that the charges are always between $3.50 and $5.00. So we can write this as an inequality:

3.50 <= Cost <= 5.00

To find the number of bills, we can substitute the expression for cost into the inequality:

3.50 <= 2.25 + 0.10x <= 5.00

We can solve this inequality by isolating x on one side:

0.10x >= 1.25

x >= 12.5

So the number of bills paid using the service is greater than or equal to 12.5.

She could pay exactly 12 bills, 13 bills, 14 bills and so on.

The solution is x >= 12.5