# college algebra

Use a calculator to help solve the problem.

The intensity I of light (in lumens) at a distance x meters below the surface is given by I = I0 k x, where I0 is the intensity at the surface and k depends on the clarity of the water. At one location in the Atlantic Ocean, I0 = 16 and k = 0.6. Find the intensity of light at a depth of 12 meters. (Round your answer to three decimal places.)
_____ Lumens

1. 👍
2. 👎
3. 👁
1. Just plug in the given values and evaluate

I = 16(.6)(12)
= .....

1. 👍
2. 👎
2. i did that and it is not working. i get 0.0348

1. 👍
2. 👎
3. really ??
look at your answer, how can it even make sense?

.6 is a bit more than half
so you are taking about half of 16(12) = half of 192
or appr 96

I get 115.2

1. 👍
2. 👎

## Similar Questions

1. ### algebra

The intensity I of light bulb measured in watts per square meter (w/m^2), varies inversely as the square of the distance d from the light bulb . . suppose I is 45 w/m^2 when the distance is 5 m . find the intensity when the

2. ### Math

The intensity of Illumination on a surface varies inversely as the square of the distance from the light source. A surface is 12 meters from a light source and has an intensity of 2. How far must the surface be from the light

3. ### algebra

The light intensity of a light bulb varies inversely as the square of the distance from the light bulb. The function I(d) = k/d^2 models this situation, where I is the light intensity, d is the distance from a light source, and k

4. ### Physics

When you see a traffic light turn red, you apply the brakes until you come to a stop. Suppose your initial speed was 12.9 m/s, and you come to rest in 35.0 m. How much time does this take? Assume constant deceleration. What

1. ### College Algebra

Intensity of Light. The intensity I of light from a light bulb varies inversely as the square of the distance d from the bulb. Suppose that I is 90 W / m 2 90W/m2 (watts per square meter) when the distance is 5 m. How much farther

2. ### Physics

Unpolarised light of intensity 4.0Wm^−2 is incident on a polariser placed at 15∘ to the vertical. State the intensity of the transmitted light. I've tried 4 x cos(15)^2 = 3.732050808, but it says "Unpolarised light is a random

3. ### Pre Cal

The intensity of light decreases by 4% for each meter that it descends below the surface of the water. At what depth is the intensity of light only 20% of that at the surface?

4. ### Calculus

The intensity of light varies inversely as the square of the distance from its source. If two searchlights are 600 meters apart and one light is 8 times as strong as the other, where should a man cross the line between them in

1. ### Algebra 2

The intensity of the light from an object varies inversely with the square of the distance. In other words, I = k over d^2 a. Solve the equation to find d in terms of I. b. Two stars give off the same amount of light. However,

2. ### Physics

Two thin slits with separation of .0250mm are placed over monochromatic orange laser light at 610.nm. What is the small angle measurement from the central maximum (zero degrees, inline with the source) to the first maximum? I

3. ### college physics

The intensity of an earthquake wave passing through the Earth is measured to be 2.5×10^6 J/m^2 at a distance of 43 km from the source. What was its intensity when it passed a point only 2.0 km from the source? AND At what rate

4. ### science

When you go out into the sun, the UV light can give you a tan. UV light has a frequency of 7.89 x 1014 Hz. What is the wavelength of UV light? Please use 3 x 108 m/s for the speed of light (c). You will need to upload a file to