On a particular fall day, the outdoor temperature was recorded periodically and an equation was used to model the data.

On a particular fall day, the outdoor temperature was recorded periodically
and an equation was used to model the data.

y= -0.24t2+ 6.6t+ 35 for 0 £t£24 wheret= time of day (in hours)
and y= temperature (in degrees Fahrenheit)

REMARK: Time is measured in hours elapsed since midnight. For instance,in the usual time notation, t= 4 hours means 4 am. t= 21 hours means 9 pm. t= 18.25 hours means 6:15 pm.

(a) Use the equation to estimate the outdoor temperature at 2 pm, to the nearest tenth of a degree. Show some work.

(b) Find the time(s) of day when the outdoor temperature ywas 62 degrees.

That is, solve the quadratic equation 62 = -0.24t2+ 6.6t+ 35.

Show work in solving.make concluding sentence to report the time(s) to the nearest half-hour, in the usual am/pm time notation.

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