Bart’s cell phone package costs $15 a month plus an additional 10 cents per megabyte of data used over his data limit. Ping’s is $10 a month plus 12 cents per megabyte used over her data limit. Determine the data overage when their monthly bills would be the same.
To determine the data overage when their monthly bills would be the same, we need to set up an equation and solve for the unknown.
Let's assume the data overage in megabytes as "x".
For Bart's cell phone package, the monthly bill is calculated as $15 + $0.10x (since it's an additional 10 cents per megabyte).
For Ping's cell phone package, the monthly bill is calculated as $10 + $0.12x (since it's an additional 12 cents per megabyte).
Setting up the equation:
$15 + $0.10x = $10 + $0.12x
Simplifying the equation:
$15 - $10 = $0.12x - $0.10x
$5 = $0.02x
Dividing both sides by $0.02:
$5/$0.02 = x
250 = x
Therefore, the data overage when their monthly bills would be the same is 250 megabytes.
To determine the data overage when their monthly bills would be the same, we can set up an equation.
Let's assume x represents the number of megabytes of data used over their respective data limits.
For Bart, his monthly bill can be represented as:
Bill_bart = $15 + $0.10*x
For Ping, her monthly bill can be represented as:
Bill_ping = $10 + $0.12*x
To find when their monthly bills would be the same, we need to set the equations equal to each other:
$15 + $0.10*x = $10 + $0.12*x
Now, let's solve for x:
$15 - $10 = $0.12*x - $0.10*x
$5 = $0.02*x
Divide both sides by $0.02:
$5 / $0.02 = x
x = 250
Therefore, when their monthly bills would be the same, the data overage would be 250 megabytes.
15 + .1 d = 10 + .12 d
solve for d