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Christina built a small hot air balloon and recorded the distance it traveled. The table below shows the vertical distance traveled (v) during the first 4 seconds after starting (s).



Elapsed Time(seconds) Distance Traveled(feet)

1 1.2

2 2.4

3 3.6

4 4.8



Which of the following equations represents the relationship between the distance traveled and the elapsed time?

v = 1.2s

s = 1.2v

v = 1.2 + s

s = 1.2 + v

Verified Answer :

the answer to your question is v=1.2s. thats actually a pretty tough question.

jscuervo1992

Answer:

The answer is v = 1.2s

Step-by-step explanation:

The table shows the relationship between time (s) and distance traveled (v) so it represents a function, a math expression where for each specific value of an independent variable ( in this case time) you obtain a unique value or dependent variable (distance in this case).

As time increases, distance travelled increases in a constant proportion equal to:

2.4 - 1.2 = 1.2

3.6- 2.4 = 1,2

As you see, each second that passes the distance increases by a constant factor of 1.2. This type of fucntion is called a linear function whic has the form

y= mx +b

where m is the constant factor and b the value that y takes when x= 0. In this case x and y are:

V = ms  

because at time zero s = 0 disntaced travelled is v=0. So replacing the constant factor 1.2 as m we have

v = 1.2s

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