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 seconnds, t, by the equation d= 0.15t a. How fast is it flying? Be sure to include the units b. How far will it travel in 30 seconds? c. How long will it take to go 12.75 miles?

Answer 1

(a)

`speed=0.15(miles)/(seconds)`

(b)

The distance traveled in 30 seconds is 45 miles

(c)

It takes 85 seconds to go 12.75 miles

Explanation:

we are given

An airplane is flying from New York City to Los Angeles

d is the distance traveled in miles

t is time in second

we have equation as

`d=0.15t`

(a)

we have to find speed

we can see that our distance equation is in linear form

For finding speed, we can compare our equation with equation of line

and slope of the line will be speed

because slope is the rate of change

`y=mt+b`

where m is slope

so, we can compare

and we get

`m=0.15`

so,

`speed=0.15(miles)/(seconds)`

(b)

we can plug t=30 and find d

`d=0.15* 30`

`d=45` miles

so, The distance traveled in 30 seconds is 45 miles

(c)

we can set d=12.75 and solve for t

`12.75=0.15t`

`t=85`

So,

It takes 85 seconds to go 12.75 miles