Answer:
A. 0.15
B. 0.45
C. 85
Step-by-step explanation:
Given that:
Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:
[tex]d=0.15t[/tex]
A.
To find: The speed of airplane in miles per second.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Here, we will have to find the value of [tex]\frac{d}{t}[/tex].
Dividing the given equation by [tex]t[/tex], we get:
[tex]\dfrac{d}{t}=0.15[/tex]
[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.
Therefore, the answer is 0.15.
B.
Distance traveled in 30 seconds.
Given that: [tex]t[/tex] = 30 seconds
To find: [tex]d = ?[/tex] in miles
[tex]d = 0.15\times 3 = 0.45[/tex]
C.
The time taken to travel a distance of 12.75 miles.
Given that : [tex]d =12.75\ miles[/tex]
To find: [tex]t = ?[/tex] seconds
[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]
