Question

Tim's phone service charges $24.76 plus an additional $0.25 for each text message sent per month. If Tim's phone bill was $31.01, which equation could be used to find how many text messages, x, Tim sent last month?
A.
$0.25x - $24.76 = $31.01

B.
$24.76x + $0.25 = $31.01

C.
$0.25x + $24.76 = $31.01

D.
$24.76x - $0.25 = $31.01

Answer 1

To determine the correct equation to find out how many text messages (x) Tim sent last month, we can break down the given information from the problem.

Tim's base charge every month is $24.76. Additionally, he is charged $0.25 for each text message he sends. Thus, if Tim sent x text messages, the total cost can be represented by the equation:

Total cost = Base charge + (Charge per text message * Number of text messages)

In this specific scenario, the equation would look like this:

Total cost = $24.76 + ($0.25 * x)

Now, according to the problem, Tim's total phone bill was $31.01. Therefore, we can set up the equation as follows:

$24.76 + $0.25x = $31.01

From this, we can rearrange the equation to match the form of one of the options given. Subtracting $24.76 from both sides gives us:

$0.25x + $24.76 = $31.01

So the correct answer is:

C. $0.25x + $24.76 = $31.01