Complete the following table. Population Growth Rate, $\mathbf{k}$ Doubling Time, $\mathrm{T}$ Country A $2.2 \%$ per year Country B 46 years Population Growth Rate, $\mathbf{k}$ Doubling Time, $T$ Country A $2.2 \%$ per year $\square$ years Country B $\quad$ B Ber year 46years (Round doubling time to the nearest whole number and round growth rate to the nearest tenth.)

Step 1 ：The problem is asking to find the doubling time for Country A and the growth rate for Country B. The doubling time and the growth rate are related by the formula: \(T = \frac{70}{k}\) where \(T\) is the doubling time and \(k\) is the growth rate.

Step 2 ：For Country A, we know the growth rate \(k = 2.2\% = 2.2\) (in the formula, we use the growth rate as a whole number, not a percentage). We can substitute this into the formula to find the doubling time.

Step 3 ：For Country B, we know the doubling time \(T = 46\) years. We can substitute this into the formula to find the growth rate.

Step 4 ：Let's calculate these values.

Step 5 ：Substituting \(k = 2.2\) into the formula \(T = \frac{70}{k}\), we get \(T = \frac{70}{2.2} = 32\) years for Country A.

Step 6 ：Substituting \(T = 46\) into the formula \(T = \frac{70}{k}\), we get \(k = \frac{70}{46} = 1.5\%\) per year for Country B.

Step 7 ：The final answer is: The doubling time for Country A is \(\boxed{32}\) years and the growth rate for Country B is \(\boxed{1.5\%}\) per year.