Question

Data Plan A charges a $52 monthly fee for 3GB and then charges $3 for each additional GB. Data Plan B charges a $65 monthly fee for 5GB and then charges an additional $1.75 for each additional GB. At which point is Plan A a better deal than Plan B?

Answer 1

Plan A is a better deal than Plan B when you use more than 10.4 GB of data in a month. For any usage lower than that, Plan B would be the cheaper option.

Explanation:

To determine at which point Plan A is a better deal than Plan B, we need to compare the total cost of each plan for a given amount of data usage.

The total cost of Plan A for 3GB of data is $52 per month. For every additional GB of data, the cost is $3, so if we use x GB of data beyond the included 3GB, the total cost of Plan A would be $52 + $3x.

The total cost of Plan B for 5GB of data is $65 per month. For every additional GB of data, the cost is $1.75, so if we use x GB of data beyond the included 5GB, the total cost of Plan B would be $65 + $1.75x.

To determine at which point the total cost of Plan A is less than the total cost of Plan B, we can set the two equations equal to each other and solve for x:

$52 + $3x = $65 + $1.75x

$1.25x = $13

x = $13 / $1.25

x = 10.4

Therefore, Plan A is a better deal than Plan B when you use more than 10.4 GB of data in a month. For any usage lower than that, Plan B would be the cheaper option.