Respuesta :
Answer:
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
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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