suppose that during one period of extreme cold the average daily temp decreased 1 1/2 Fahrenheit each day how many days did it take for the temp to decrease by 9 degrees Fahrenheit for barrow Alaska
Accepted Solution
A:
Answer:The temperature decreased by 9 °F in 6 days.Step-by-step explanation:Let the number of days it takes for the temperature to decrease by 9 °F be [tex]x[/tex].Given:Average daily temperature decreases by [tex]1\frac{1}{2}[/tex] °F.Decrease of temperature in 1 day = [tex]1\frac{1}{2}[/tex]= 1.5 °F.∴ Decrease in temperature in x days is [tex]1.5x[/tex].Now, as per question, decrease in temperature in 'x' days is 9 °F.Therefore, [tex]1.5x=9[/tex][tex]x=\frac{9}{1.5}[/tex][tex]x=6[/tex]Therefore, the temperature decreased by 9 °F in 6 days.