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?

The correct answers are

Step-by-step explanation:

Given: An airplane is flying from New York city to Los Angeles.The distance it travels in Miles, , is related to the time in seconds, , by the equation .

According to the mentioned conditions in question,

. Substituting in our equation we will get,

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

. Distance travelled in seconds is calculated as

Therefore, plane will travel miles in seconds.

. Time taken by airplane to cover is calculated as:

Therefore, plane will take seconds to travel miles.

Hence, the correct answers are

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We have been given an equation 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,

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

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.

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

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2

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step-by-step explanation: