In lixue's garden, the green pepper grew 5 inches in 3/4 month. At this rate, how many feet can grow in one month? (Let 5 inches =5/12 feet)

Respuesta :

Answer:

[tex]\frac{5}{9}[/tex]ft

Step-by-step explanation:

Given parameters:

    number of inches of growth  = 5inches

     time duration  = [tex]\frac{3}{4}[/tex]month

Unknown:

Number of feet that can grow in one month = ?

Solution:

To find the rate;

   Rate of growth  = [tex]\frac{number of inches of growth}{time duration}[/tex]  

Insert parameters and solve;

  Rate of growth  = [tex]\frac{5}{\frac{3}{4} }[/tex]  

 Rate of growth  = 5inches x [tex]\frac{4}{3}[/tex]

                            = [tex]\frac{20}{3}[/tex]inches/month

Now,

         Number of feet in one month:

           = rate of growth x 1 month

           =  [tex]\frac{20}{3}[/tex]inches/month x 1 month

           =  [tex]\frac{20}{3}[/tex]inches

Since;                   5inches  = [tex]\frac{5}{12}[/tex]feet

                            [tex]\frac{20}{3}[/tex]inches will give  [tex]\frac{\frac{5}{12} x \frac{20}{3} }{5}[/tex] ft

                           = [tex]\frac{5}{9}[/tex]ft

     

Q&A Education