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

Joni Kenny

Joni Kenny

Answered question

2021-09-22

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

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-09-23Added 101 answers

a) Given information: d(t)=300000t represents the distance that light travels in t seconds.
Here we will put t=1 5 into the given function.
d(t)=300000t
d(15)=300000(15)
d(15)=4500000km
Nick Camelot

Nick Camelot

Skilled2023-05-28Added 164 answers

a. To find the distance light travels in 15 seconds, we substitute t = 15 into the function d(t). Therefore, d(15)=300,000×15=4,500,000 kilometers.
b. To determine the time it takes for light to travel 12 million kilometers, we need to solve the equation d(t)=12,000,000 for t. Substituting d(t) with 300,000t, we have 300,000t=12,000,000. Dividing both sides by 300,000, we find that t=12,000,000300,000=40 seconds.
Therefore, light travels 4,500,000 kilometers in 15 seconds, and it takes 40 seconds for light to travel 12 million kilometers.
Eliza Beth13

Eliza Beth13

Skilled2023-05-28Added 130 answers

Step 1:
a. To find the distance light travels in 15 seconds, we can substitute the value of t=15 into the function d(t)=300,000t.
d(15)=300,000·15
Now, let's calculate the distance:
d(15)=4,500,000km
Therefore, light travels a distance of 4,500,000km in 15 seconds.
Step 2:
b. To determine the time it takes for light to travel 12 million kilometers, we need to solve the equation d(t)=12,000,000 for t. Substituting d(t)=300,000t into the equation, we have:
300,000t=12,000,000
Let's solve for t:
t=12,000,000300,000
Simplifying the expression:
t=40
Therefore, it takes light 40 seconds to travel 12 million kilometers.
Mr Solver

Mr Solver

Skilled2023-05-28Added 147 answers

Result:
light travels 4,500,000 km in 15 seconds, and it takes 40 seconds for light to travel 12 million kilometers.
Solution:
a. To find how far light travels in 15 seconds, we substitute t=15 into the given function d(t)=300,000t. Thus, we have:
d(15)=300,000·15
Evaluating the expression on the right-hand side, we get:
d(15)=4,500,000
Therefore, light travels 4,500,000 km in 15 seconds.
b. To determine how long it takes light to travel 12 million kilometers, we need to solve the equation d(t)=12,000,000 for t. Using the given function d(t)=300,000t, we can write the equation as:
300,000t=12,000,000
To solve for t, we divide both sides of the equation by 300,000:
t=12,000,000300,000
Simplifying the right-hand side:
t=40
Therefore, it takes light 40 seconds to travel 12 million kilometers.

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