The number of home fires each day in a certain city increases as the temperature drops.The rate of home fires is modeled by ,for days,where midnight on January 1st corresponds to .Which of the following is closest to the approximate number of fires in the first quarter of the year? Round your answer to the nearest whole number.

Question

The number of home fires each day in a certain city increases as the temperature drops.The rate of home fires is modeled by​ ​  ,for  days,where midnight on January 1st corresponds to  .Which of the following is closest to the approximate number of fires in the first quarter of the year? Round your answer to the nearest whole number.
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Quizplus · Accepted Answer

The first quarter of the year corresponds to 90 days, starting from January 1st. Plugging in n=90 in the given formula, we get:

F = 5 + 50(1 - e^(-0.05*90)) ≈ 377.8

Rounding to the nearest whole number, the closest approximate number of fires in the first quarter of the year is 378, which is closest to option B.

The Number of Home Fires Each Day in a Certain