Equating the the expression for the cost of Plan A to the expression for the
cost for Plan B yields an equation with variables on both sides.
- The equation that can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B is; 12·b = 75 + 3·b
Reasons:
The book plans are;
Plan A;
Membership fee = None
Fee per book = $12
Plan B;
Membership fee = $75
Fee per book = $3
Therefore;
The cost of b number of books on Plan A is [tex]C_A[/tex] = 12·b
The cost of b number of books on Plan B is [tex]C_B[/tex] = 75 + 3·b
When the cost of Plan A equals the cost of Plan B, we have;
- [tex]C_A[/tex] = [tex]C_B[/tex]
Which gives;
12·b = 75 + 3·b
The equation to find the number of books, b, at which the cost of both plans are equal is therefore;
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