The function d(t)=300,000t represents the distance (in kilometers) that light travels in t seconds.

a. how far does light travel in 15 seconds?

kilometers

b. how long does it take light to travel 12 million kilometers?

seconds.

If the function d(t)=300,000t represents the distance (in kilometers) that light travels in t seconds.

The light travels  4500000 kilometers in 15 minutes

It takes the light 40 seconds to travel 12 million kilometers

The given function is:

d(t)  =  300000t

where d represents the distance (in kilometers)

t represents the time traveled (in seconds)

To get the distance traveled by the light in 15 seconds, substitute t = 15 into the function d(t)  =  300000t

d(15)  =  300000(15)

d(15)  =  4500000 kilometers

The light travels  4500000 kilometers in 15 minutes

To get the time taken for the light to travel 12 million kilometers, substitute d(t) = 12000000 into the function d(t)  =  300000t and solve for t.

d(t)  =  300000t

12000000  =  300000t

t  =  12000000 / 300000

t  =   40 seconds

It takes the light 40 seconds to travel 12 million kilometers

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a. The light travels 4,500,000 kilometers in 15 seconds

b. It takes the light 40 seconds to travel 12 million kilometers

Step-by-step explanation:

- The function d(t) = 300,000 t represents the distance in kilometers

  that light travel in t seconds

a.

- We need to find how far the light travels in 15 seconds

∵ d(t) = 300,000 t

∵ t = 15 seconds

- Substitute the value of t in the function above

∴ d(t) = 300,000 (15)

∴ d(t) = 4,500,000 kilometers

The light travels 4,500,000 kilometers in 15 seconds

b.

- We need to find how long does it takes the light to travel 12 million

  kilometers

∵ d(t) = 12 million kilometers = 12,000,000 km

∵ d(t) = 300,000 t

- Substitute the value of d(t) in the function

∴ 12,000,000 = 300,000 t

- Divide both sides by 300,000

∴ t = 40 seconds

It takes the light 40 seconds to travel 12 million kilometers