how do you do #3? if you can please take a picture or just explain the process, not just the answer. (i don’t need a super detailed explanation it’s just it was assigned as hw even tho my teacher didn’t teach it to us :/)

Hello from MrBillDoesMath!
Answer:
z = 28 (y/x)
Discussion:
" z varies inversely with x and directly with y" Â translates into
z = k * (y/x) Â Â Â Â Â Â Â Â (*)
Substituting x = 2, y = 3, z = 42 Â in (*) gives
42 = k (3/2) Â Â Â Â Â Â Â Â Â Â Â Â => Â multiply both sides by 2/3
42 (2/3) = k (3/2)(2/3) Â Â Â Â => Â 42(2/3) = 28; (3/2)(2/3) = 1
28 = k
Conclusion:
z = 28 (y/x)
Â
Thank you,
MrB