The population of a city decreases by 3.9% per year. If this year's population is p, which expression represents next year's population?0.9961p1−0.039p3.9p0.961p
Q. The population of a city decreases by 3.9% per year. If this year's population is p, which expression represents next year's population?0.9961p1−0.039p3.9p0.961p
Calculate Decrease: To find next year's population, we need to subtract the decrease from the current population. The decrease is 3.9% of the current population p.Calculation: 3.9% of p=0.039×p
Find Next Year's Population: Next year's population will be this year's population minus the decrease.Calculation: Next year's population = p−(0.039×p)
Factor Out p: We can factor out p from the expression to simplify it.Calculation: Next year's population = p×(1−0.039)
Calculate Value: Now we calculate the value inside the parentheses.Calculation: 1−0.039=0.961
Substitute Value: We substitute the value back into the expression to find the final expression for next year's population.Calculation: Next year's population = p×0.961
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