Question

Stacey's text messaging plan charges 5 cents for each message over 650 in addition to a $6 base charge. If she owes $13.00 for text messaging in the month of September,

how many text messages did she send that month?

Answer 1

Explanation:

Let's assume that Stacey sent X text messages in the month of September.

According to the given information, Stacey's text messaging plan has a base charge of $6, and she is charged an additional 5 cents for each message over 650.

The additional charge for the messages over 650 can be calculated as (X - 650) * 0.05 dollars.

So, the total amount she owes for text messaging can be expressed as:

Total amount = Base charge + Additional charge for extra messages

$13 = $6 + (X - 650) * 0.05

To solve for X, we can rearrange the equation:

(X - 650) * 0.05 = $13 - $6

(X - 650) * 0.05 = $7

X - 650 = $7 / 0.05

X - 650 = $140

X = $140 + 650

X = 790

Therefore, Stacey sent 790 text messages in the month of September.

Answer 2

To determine the number of text messages Stacey sent in September, we can set up an equation based on the given information.

Let's denote the number of text messages Stacey sent in September as "x." According to the plan, Stacey is charged 5 cents for each message over 650, in addition to a $6 base charge.

The total cost for text messaging can be calculated as follows:

Cost = Base charge + (Number of messages - Message limit) * Cost per additional message

Cost = $6 + (x - 650) * $0.05

We know that Stacey owes $13.00 for text messaging in September. So we can set up the equation:

$13.00 = $6 + (x - 650) * $0.05

Simplifying the equation:

$13.00 - $6.00 = (x - 650) * $0.05

$7.00 = (x - 650) * $0.05

Dividing both sides by $0.05:

$7.00 / $0.05 = x - 650

140 = x - 650

Adding 650 to both sides:

x = 140 + 650

x = 790

Therefore, Stacey sent 790 text messages in the month of September.