Answer :
The $315 cost of the couch after tax, gives the cost before tax, C, as the following equation;
[tex]Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t} [/tex]
How can the cost before tax be expressed?
The cost of the couch with tax = $315
Let, t, represent the tax rate, and let C, represent the cost before tax, we have;
315 = C + C × t
- 315 = C × (1 + t)
Which gives;
- The cost of the couch before tax, C = 315/(1 + t)
Mathematically, we have the following equation;
[tex]Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t} [/tex]
Learn more about writing, and analyzing equations here:
https://brainly.com/question/7187454
#SPJ1