Concept explainers
(a)
Find the intensity I of light 5 ft from the bulb.
(a)
Answer to Problem 40CR
Intensity of the bulb is 9 units when the distance is 5 ft.
Explanation of Solution
Given:
For a 225 − watt bulb, the intensity I of light in lumens at a distance of x feet is
What is the intensity of light 5 ft from the bulb?
Concept Used:
Intensity of the bulb given by
Now substitute x = 5 ft and calculate for I the intensity.
Calculation:
Thus, Intensity of the bulb is 9 units when the distance is 5 ft.
(b)
Find the intensity of bulb when the distance doubles.
(b)
Answer to Problem 40CR
Intensity of the bulb is 2.25 units when the distance is 10 ft.
Explanation of Solution
Given:
For a 225 − watt bulb, the intensity I of light in lumens at a distance of x feet is
Suppose your distance from the bulb doubles. How does the intensity of light change? Explain.
Concept Used:
Intensity of the bulb given by
Now distance is double, so substitute x = 10 ft and calculate for I the intensity.
Calculation:
The intensity of the bulb will be one − fourth when distance doubles.
Thus, Intensity of the bulb is 2.25 units when the distance is 10 ft.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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