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Chapter 7: Q15. (page 350)

The intensity of light emitted by a firefly can be determined by Lt=10+0.3t+0.4t2-0.01t3, where t is temperature in degrees Celsius and Lt is light intensity in lumens. If the temperature is 30C鈭�, find the light intensity.

Short Answer

Expert verified

The light intensity at temperature 30C鈭� is 109 lumens.

Step by step solution

01

Step 1. Write down the given information.

The intensity of light Lt in lumens, where t is temperature in degrees Celsius is given as:

Lt=10+0.3t+0.4t2-0.01t3....1

02

Step 2. Calculation.

The light intensity Lt at temperature 30 degrees Celsius can be obtained by plugging t=30C鈭� in (1). Therefore, from (1),

L30=10+0.330+0.4302鈭�0.01303=109鈥媗耻尘别苍蝉

03

Step 3. Conclusion.

The light intensity at temperature 30C鈭� is 109 lumens.

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