Question

An airplane is flying from New York city to Los Angeles.The distance it travels in Miles, D, is related to the time in seconds, T, by the equation d=0.15t. A.How fast is it flying?Be sure to include the units. B. How far will it travels and 30 seconds? C. How long will it take to go 12.75 miles?

Answer 1

We have been given an equation $d=0.15t$ that represents the distance an airplane travels in Miles (d) is related to the time in seconds (t).

A. Upon substituting t=1 in our equation we will get,

$d=0.15\times 1$

$d=0.15$

We can see that our plane is travelling at rate of 0.15 miles per second.

$\text{Speed of plane }=0.15\frac{\text{miles}}{\text{second}}$

Therefore, plane is flying at the rate of 0.15 miles per second.

B. To find distance traveled by airplane in 30 seconds we will substitute t=30 in our given equation.

$d=0.15\times 30$

$d=4.5$  

Therefore, plane will travel 4.5 miles in 30 seconds.

C. To find time it will take to travel 12.75 miles we will substitute d=12.75 in our given equation.

$d=0.15\times t$

$12.75=0.15\times t$

$t=\frac{12.75}{0.15}=85$

Therefore, plane will take 85 seconds to travel 12.75 miles.