10 points)
Score
2. Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan allows. One month, she was billed $73.40.
a. Define a variable for the unknown.
b. Write an equation to model the problem.
c. Solve the equation. Show your work.
d. Find the number of minutes that Allegra went over the time that the plan allows
m= minutes over allowed
billedamount=65+.1m
A cell phone company offers a basic monthly plan that charges $20 for the first 60 minutes and $0.05 per additional minute. If you budgeted $60 to spend on your cell phone bill for the month, how many minutes can you use?
a. Let's define the variable as "x" to represent the number of minutes that Allegra went over the time that her plan allows.
b. The equation to model the problem can be written as: 65 + 0.10x = 73.40.
c. To solve the equation, start by subtracting 65 from both sides of the equation to isolate the term with the variable:
0.10x = 8.40
Next, divide both sides of the equation by 0.10 to solve for x:
x = 8.40 / 0.10
x = 84
Therefore, Allegra went over the time that her plan allows by 84 minutes.
d. The number of minutes that Allegra went over the time that the plan allows is 84 minutes.