New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet, glues, and upholstery. Over time the chemicals in these items evaporate into the air at a rate proportional to N. You measured the "new car smell," N(t).as 100 when purchased and at t = 6 months and there was N(t) = 1. Write and solve the differential equation which describes the amount of new car smell between t = 0 and t = 6 months, where t is measured in months.ON(t) = 100e(-0.767)tO N(t) = .99e(-0.767)1ON(t) = 100e(-0.99)O N(t) = 100e(0.767)t