Answered

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

Verified Answer :

konrad509

\(p+7.5\%p=p+0.075p=\boxed{1.075p}\)

JeanaShupp

Answer:  1.75p


Step-by-step explanation:

Let 'p' represents the current population.

The increase in the population of the city =7.5%

Therefore,  the expected population next year= Current population+75% of the current population

\(=p+75\%\ of\ p\ \\=p+0.75p....\text{[convert percent into decimal]}\\=p(1+0.75).........\text{[take p as common outside]}\\=p(1.75)=1.75p\)

Hence, the expected population next year= 1.75p

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