A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write and solve an equation to find how many text messages x you had.
cost = .25x + 30
Set the cost equal to 59.50 and solve for x
Btw, time to get rid of those outdated textbooks.
According to Nielsen, the average teenager now sends 3,339 texts per month. There's more, though: teen females send an incredible 4,050 texts per month, while teen males send an average of 2,539 texts.
So your typical female teenager according to this phone company would pay
$30 + $.25(4050) or $1042.50 per month
To solve this problem, let's break it down into steps:
Step 1: Let's define the variables and the given information in the problem:
- Let x represent the unknown number of text messages.
- The monthly fee is $30.00.
- The additional charge for each text message is $0.25.
- The total amount owed is $59.50.
Step 2: Write the equation:
The total amount owed is equal to the sum of the monthly fee and the additional charge for the number of text messages:
Total amount owed = Monthly fee + (Additional charge per text message * Number of text messages)
The equation is: 59.50 = 30 + (0.25 * x)
Step 3: Solve the equation:
Subtract 30 from both sides of the equation:
59.50 - 30 = 0.25x
29.50 = 0.25x
Now, divide both sides of the equation by 0.25 to isolate x:
29.50 / 0.25 = x
x = 118
Step 4: Interpret the result:
You had 118 text messages, based on the given information and the completed equation.