Why does equilibrium price increase with increase in demand even when the price and demand are inversely related?

Equilibrium price increases with an increase in demand because, in a market, demand and supply interact to determine price. When demand rises, consumers are willing to pay more for the same quantity of goods, leading to upward pressure on prices. This shift in demand causes suppliers to respond by increasing their prices to balance the higher willingness to pay, thus resulting in a new equilibrium with a higher price. Therefore, while price and quantity demanded are inversely related, the overall market equilibrium reflects the increased demand.