The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression represents the expected population next year.

Population next year = 1.075p

Step-by-step explanation:

The current population can be represented by 1 p the increase in the population number by next year is 7.5% p or 7.5/100 p that equals to 0.075p. The expression that represents the expected population by next year is:

Population next year = This year population + expected growth

Population next year = 1p + 0.075p = 1.075p

Given Information:

Population rate = 7.5 %

Current population = p

Required Information:

Population next year = ?

Population next year = 1.075p

Step-by-step explanation:

The rate of increase in the population is given as 7.5 %

We know that the current population is equal to p

The population in the next year would be the sum of current population and 7.5 % of current population.

Population next year = current population + 7.5% of current population

Population next year = p + 7.5% of p

Population next year = p + 0.075*p

Population next year = p(1 + 0.075)

Population next year = p(1.075)

Population next year = 1.075p

d≈7.07in

step-by-step explanation: