By "inspection" you can write the equation as
.. x + y = 10
Then
.. y = -x +10 . . . . . . . . the desired form
Basically, the inputs are the x values on the table. Plug those into the function. "Multiply the input by -1/2, then add 3" translates to -1/2(x) + 3.
If you would like me to actually put the answers down, then I'll put them in the comments after you request them.
Given:
- Bought n items of product A at 1/5 rs each
- bought n items of product B at 1/4 rs each
He mixed the two items and sold each at 2/9 rs each.
He lost 3 rs in the above batch of articles.
Solution:
revenue = 2n* (2/9) rs = 4n/9 rs
cost = n/5+n/4 rs = n(1/5+1/4)
Profit = revenue-cost = 4n/9-n(1/5+1/4) = -3 rs
Solve for n
4n/9-n(1/5+1/4) = -3
factor out n
n(4/9-1/5-1/4)=-3
n(80-36-45)/180=-3
-n/180=-3
n=3*180=540
Total number of products bought
= n+n = 540+540 = 1080
Lne equals 1 because they cancel each other out. e is the base of ln.
For example: log has a base of 10, log10 = 1