Considering the definition of an equation and the way to solve it, the total price P of the premium internet service including the initial set up dependant on the number of months M can be modeled by P = 52 + 69M.
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it.
To solve an equation, keep in mind:
First you define "M" as the number of months. So, the total price P of the premium internet service including the initial set up dependant on the number of months can be expressed through the equation:
P= initial set-up cost + 69M
On the other hand, the total cost for set up and 6 months of service is $466.00. Replacing on the equation for the total price P:
466= initial set-up cost + 69×6
Solving:
466= initial set-up cost + 414
466 - 414=initial set-up cost
52= initial set-up cost
Finally, the total price P of the premium internet service including the initial set up dependant on the number of months M can be modeled by P = 52 + 69M.
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