asked 18.2k views
3 votes
3. The percent of popcorn kernels that will pop, P, is modeled using the equation:

P=-0.037² +257-3600, where T is the temperature in degrees Fahrenheit.
Determine the two temperatures, to the nearest degree Fahrenheit, that result in zero percent of the kernels
popping. Use the Quadratic Formula. Show work that justifies your answer. The numbers here will be messy. Use your calculator to help you and carefully write out your work.

1 Answer

3 votes
= 0.03T2 + 25T -3600
=0
- (25 )さ1/2572
- 4 ( - 0 , 0 3 )( - 3 6 0 0 ) 2(-0.03)
*3-25 +
1625-432
- 0.06
X=
- 2 5 + 1 193
- 0.06
x=-25-1193
x=-25 +1193 -0.06 -0.06
*=
648.207...
x=185.1259... *= 648°F X=185OF
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