Answer:
5 weeks 2 days
Step-by-step explanation:
A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches
1 week = 7 days
Therefore in 1 day the plant grows = [tex]\frac{\frac{7}{6}}{7}[/tex]
= [tex]\frac{1}{6}[/tex] inch
Now we have to calculate number of days in which the plant grows [tex]6\frac{1}{6}[/tex] inches ≈ [tex]\frac{37}{6}[/tex] inch
Number of days = [tex]\frac{\text{Total growth}}{\text{Growth in one day}}[/tex]
= [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{37}{6}[/tex] × 6
= 37 days ≈ 5 weeks and 2 days
It will take the plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.
