According to the basic principles of economics, how will the birthrate be affected by policies that reduce the taxes imposed on those with children?

This policy will lead to increase in birthrate.

Explanation:

Taxes imposed on individuals with children will be helpful in reducing birthrate, thus, curbing population growth. This is because taxes reduce the disposable income of the individuals. So people will prefer not to have children to earn a higher income.  

When this tax is reduced through some policy, the disposable income of the people would increase. So people now would be able to afford to have children. This will lead to an increase in birth rate and thus population growth.

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