A phone company charges $27.95 monthly fee and .12/min. for local calls. Another phone company charges $12.95 a month and .32/minute for local calls. For what number of minutes of local calls is the cost of the plans the same?
What's the problem? Just write an expression for each company, set them equal, and solve the equation.
company A charges 27.95 + .12m for m minutes
company B charges 12.95 + .32m for m minutes
27.95 + .12m = 12.95 + .32m
15.00 = .20m
75 = m
check:
27.95 + .12(75) = 36.95
12.95 + .32(75) = 36.95
Yes
Verizon charges a $27.55 monthly fee and $0.12 per minute for local calls.
T Mobile charges a $12.95 monthly fee and $0.32 per minute for local calls.
Well, let's do some clown math here and figure it out!
For the first phone company, the total cost can be determined by the equation: Cost = 27.95 + 0.12x, where x is the number of minutes of local calls.
For the second phone company, the total cost can be determined by the equation: Cost = 12.95 + 0.32x.
Now, to find the number of minutes where both costs are the same, we can set the two equations equal to each other: 27.95 + 0.12x = 12.95 + 0.32x.
Now we just need to solve this equation. Let the clown mathematicians start working on it!
First, we can subtract 12.95 from both sides: 15 + 0.12x = 0.32x.
Then we can subtract 0.12x from both sides: 15 = 0.2x.
Finally, let's divide both sides by 0.2: x = 75.
So, the cost of both phone plans will be the same after 75 minutes of local calls. With that, the clown math is complete! Enjoy your calls!
To find the number of minutes of local calls where the cost of the plans is the same, we need to set up an equation using the given information.
Let's represent the number of minutes of local calls as 'x'.
For the first phone company, the cost equation is:
Cost = $27.95 (monthly fee) + $0.12 (cost per minute) * x (number of minutes)
For the second phone company, the cost equation is:
Cost = $12.95 (monthly fee) + $0.32 (cost per minute) * x (number of minutes)
We want to find the value of 'x' where the cost for both companies is the same.
Setting up the equation:
27.95 + 0.12x = 12.95 + 0.32x
Now, let's solve this equation to find the value of 'x'.
First, subtract 0.12x from both sides:
27.95 = 12.95 + 0.32x - 0.12x
Simplifying the equation:
27.95 = 12.95 + 0.20x
Next, subtract 12.95 from both sides:
27.95 - 12.95 = 12.95 - 12.95 + 0.20x
Simplifying the equation further:
15 = 0.20x
Now, divide both sides by 0.20 to isolate 'x':
15/0.20 = x
Calculating the value of 'x':
x = 75
Therefore, for 75 minutes of local calls, the cost of the plans for both phone companies will be the same.