The House of Representative has certain powers such as initiating revenue bills, which are financially orientated, and can pass articles of impeachment.
Indeed. Because the House of representatives has more influence on budget, they have a greater need to be based on the population. Our founding fathers knew of this importance which is why they stated it in the constitution.
Of course. These powers have been written into the constitution by our founding fathers.
The senate has the power to ratify treaties, give advice and consent on nominations, and can try impeached officials.
That's right, senates have a great deal of influence just like the House of Representatives.
Exactly, and because the House of Representatives, has an amount of representatives proportional to population. Senates were created so states could have an equal say regardless of size.