Complete the following table.

For country A , the doubling time = 26

For country B , the growth rate = 1.5

Define growth rate?

The growth rate is the fractional change per unit time, ∆x. x. ∆t , the fractional change divided by the length of the time period.

For Country A :

      Formula for doubling time,

      T = [tex]\frac{log 2}{log (1 + \frac{k}{100} )}[/tex]

The given growth rate , k% = 2.7%

T = [tex]\frac{log 2}{lod (1 + \frac{2.7}{100} )}[/tex]

  = [tex]\frac{log 2}{log (1 + 0.027)}[/tex]

  = [tex]\frac{log 2}{log (1.027)}[/tex]

  = 26.017

  ≅ 26

Therefore, the doubling time (T) = 26 years

For Country B :

        Formula for growth rate

           k = 100 [tex][2^{1/T} - 1][/tex]

k = 100 [tex][2^{1/46} - 1 ][/tex]        (Since T = 46 years)

k = 100 [1.01518 - 1]

k = 100 [0.01518]

k = 1.518

k ≅ 1.5

Therefore, the growth rate is 1.5 % per year.

To learn more about growth rate check the given link

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