Transformations of functions

algebra 2

Tuesday

Step-by-step explanation:

Let the days of the week be numbered 1–7, starting with Monday and ending with Sunday. Let t represent today. We can equate the number of skirts finished by Friday (day 5) with the ones finished by Sunday (day 7) at the lower rate. (days × (skirts/day) = skirts)

... (5-t)×5 = (7-t)×3

... 25 -5t = 21 -3t . . . . . eliminate parentheses

... 4 = 2t . . . . . . . . . . . . add 5t-21

... 2 = t . . . . . . . . . . . . . divide by 2

Day 2 corresponds to Tuesday.

Check solution

(5-2)·5 = 15 = (7-2)·3 skirts are being made.