To determine the additional cost per month of the package deal, we need to solve the equation:
[tex]\[ 3.2x - 2(x - 1.6) = 28.46 \][/tex]
Let's follow the steps to solve for [tex]\( x \)[/tex].
1. Distribute the 2 in the second term:
[tex]\[ 3.2x - 2x + 3.2 = 28.46 \][/tex]
2. Combine like terms:
Combine [tex]\( 3.2x \)[/tex] and [tex]\( -2x \)[/tex]:
[tex]\[ (3.2 - 2)x + 3.2 = 28.46 \][/tex]
Simplifies to:
[tex]\[ 1.2x + 3.2 = 28.46 \][/tex]
3. Isolate [tex]\( x \)[/tex] by subtracting 3.2 from both sides of the equation:
[tex]\[ 1.2x = 28.46 - 3.2 \][/tex]
[tex]\[ 1.2x = 25.26 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 1.2:
[tex]\[ x = \frac{25.26}{1.2} \][/tex]
5. Calculate the result:
[tex]\[ x = 21.05 \][/tex]
So, the additional cost per month of the package deal is:
[tex]\[ x = 21.05 \][/tex]
