for every 3 days of vacation, farah packs 4 outfits. which of the following statements are true? choose 3…

for every 3 days of vacation, farah packs 4 outfits. which of the following statements are true? choose 3 answers: a farah would pack 6 outfits for an 8 - day vacation. b farah would pack 8 outfits for a 6 - day vacation. c farah would pack 10 outfits for a 9 - day vacation. d farah would pack 16 outfits for a 12 - day vacation. e farah would pack 28 outfits for a 21 - day vacation.
Answer
Explanation:
Step1: Find the rate of outfits per day
The rate is $\frac{4}{3}$ outfits per day since for every 3 - day vacation, 4 outfits are packed.
Step2: Check option A
For an 8 - day vacation, the number of outfits is $\frac{4}{3}\times8=\frac{32}{3}\approx10.67\neq6$.
Step3: Check option B
For a 6 - day vacation, the number of outfits is $\frac{4}{3}\times6 = 8$.
Step4: Check option C
For a 9 - day vacation, the number of outfits is $\frac{4}{3}\times9=12\neq10$.
Step5: Check option D
For a 12 - day vacation, the number of outfits is $\frac{4}{3}\times12 = 16$.
Step6: Check option E
For a 21 - day vacation, the number of outfits is $\frac{4}{3}\times21=28$.
Answer:
B. Farah would pack 8 outfits for a 6 - day vacation. D. Farah would pack 16 outfits for a 12 - day vacation. E. Farah would pack 28 outfits for a 21 - day vacation.