Briefly explain why a rise in national production and income per capita might improve some  environmental problems such as air pollution, water pollution, and sanitation, and potentially worsen  others

A rise in national production and income per capita may improve several environmental conditions including water pollution and sanitation and air pollution due ability to purchase technologies such as electric autos which reduce air pollution. Also people will have a better access to water in their homes, therefore reducing water pollution.

On the other other, increased productivity and income might lead to resource depletion.

Step-by-step explanation

Increased national production and wealth will improve e environmental conditions, such as:

Air-pollution- People will be able to purchase technologies like as solar cooking panels and electronic autos, which will reduce air pollution. This will help to reduce pollutants in the air.
Water pollution will be reduced since people will have greater access to water at home and will not seek water from lakes or rivers.
People will be able to afford better sanitary facilities, which will enhance sanitation. 

However, increased productivity and income may have negative consequences for other elements such as natural resources and excessive consumption of goods and services. Firms will extract more resources in order to expand production, which may lead to resource depletion.