Respuesta :

We were given the distance, d as a function of time, t.

[tex]d(t)=300,000t[/tex].

To find [tex]d(15)[/tex], we put [tex]t=15[/tex], in to


[tex]d(t)=300,000t[/tex]


This implies that,

[tex]d(15)=300,000(15)[/tex]


[tex]d(15)=4,500,000[/tex]

This means that in 15 seconds light covers a distance of 4,500,000 kilometers

Answer:

[tex]d(15)=4,500,000[/tex] kilometers

Step-by-step explanation:

The distance traversed by a beam of light is represented as a function of time:

[tex]d(t)=300,000 t[/tex]

This function represents distance traveled by the light in 't' seconds.

Now d(15) means, how much distance will the light beam cover in 15 seconds.

Putting t=15 in the function will tell us the distance traveled by light in 15 seconds.

[tex]d(15)= 300,000 \times t=300,000\times 15=4,500,000[/tex]

So basically light has traveled, 4.5 million kilometers in 15 seconds.