Question

(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the time in seconds which is a direct variation equation for this relationship

A. d= 3/5t
B. d = 5/3t
C. t= 5/3d
D. t= 2/5d

Answer 1

B. d = 5/3t

Explanation:

The complete question is shown in the figure attached with.

We need to find the equation of direct variation using the graph. The general equation for a direction variation is:

y = kx

In this case, the variable along x axis is time in seconds i.e. "t" and the variable along y axis is distance in meters i.e. "d". So, the equation for this case would be:

d = kt

We need to find the value of "k" to complete this equation. For this we can use any point from the graph and substitute it in the above equation. From the graph we can see that the distance covered for time = 3 seconds is 5 meters. Substituting t =3 and d = 5 in above equation, we get:

5 = 3k

k = 5/3

Using the value of k in the above equation, we get:

`d=(5)/(3)t`

Therefore, option B gives the correct answer