You need to choose between two phone plans for local calls. Plan A charges $25 per month for unlimited calls. Plan B charges a monthly fee of $13 with a charge of 6 cents per local call. How many local phone calls in a month make Plan A the better deal?

13+.06n>25

.06n=12
n= 200

Math 12 class question

To determine how many local phone calls in a month make Plan A the better deal, we need to compare the costs of the two plans.

Let's start with Plan A. It charges a fixed amount of $25 per month for unlimited calls, regardless of the number of calls made.

Plan B, on the other hand, charges a monthly fee of $13, as well as an additional charge of 6 cents per local call. So, for each call made on Plan B, an extra 6 cents is added to the monthly fee.

To find out the number of calls that make Plan A the better deal, we need to set up an equation and solve for the unknown number of calls, let's call it "x."

The cost of Plan B will be the monthly fee of $13 plus the additional charge of 6 cents per local call multiplied by "x". So the cost of Plan B in terms of "x" is: $13 + 0.06x.

To determine when Plan A becomes a better deal, we need to compare the costs of Plan A and Plan B when they are equal.

So, we set up the equation:
$25 = $13 + 0.06x

Now, let's solve for "x":

$25 - $13 = 0.06x
$12 = 0.06x

Dividing both sides by 0.06:
$12 / 0.06 = x

x = 200

Therefore, Plan A becomes the better deal when the number of local calls per month exceeds 200.

To determine how many local phone calls in a month make Plan A the better deal, we need to compare the costs of both plans for different call volumes.

First, let's calculate the cost of Plan B for various call volumes:
- The monthly fee for Plan B is $13.
- In addition, there is a charge of 6 cents per local call.
Let's denote the number of local calls made in a month as "x".

The cost of Plan B would be: $13 (monthly fee) + $0.06 (charge per call) * x (number of calls).

Now, let's compare the costs of both plans for different call volumes.

For Plan A (unlimited calls), the cost is a fixed $25 per month, regardless of the number of calls made.

For Plan B, the cost is calculated using the formula: $13 + $0.06 * x.

To find out when Plan A becomes the better deal, we need to find the value of "x" at which Plan A's cost is less than or equal to Plan B's cost.

Mathematically, this can be expressed as:
$25 ≤ $13 + $0.06 * x.

To solve for "x", let's subtract $13 from both sides of the inequality:
$12 ≤ $0.06 * x.

Then, divide both sides of the equation by $0.06 to isolate "x":
$12 / $0.06 ≤ x.

Simplifying, we have:
200 ≤ x.

Therefore, for any number of local phone calls equal to or greater than 200, Plan A ($25 per month) would be the better deal compared to Plan B ($13 per month plus a charge of 6 cents per call).

Hence, if you expect to make 200 or more local phone calls in a month, choosing Plan A would provide a better deal.