The graph shows the distance a ghost crab can run over time.
A graph is shown in the xy-plane. The x-axis is labeled as Time in seconds and the y-axis is labeled as Distance in Meters. The values on the x-axis ranges from 0 to 9 in increments of 1 and the values on the y-axis ranges from 0 to 45 in increments of 5. A line starts from the origin, goes up, and passes through the points (3, 5), (6, 10), and so on.
Let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship?
A.d=35t
B.d=53t (my answer)
C.t=53d
D.t=25d
am i correct??
Yes. I did that answer and got it right.
NO YOUR wrong don't pick it
To find the direct variation equation for this relationship, we need to analyze the given information.
In a direct variation equation, when one variable increases or decreases, the other variable also increases or decreases by a constant ratio. This can be represented as y = kx, where y and x are variables, and k is the constant of variation.
Looking at the graph and the points provided, we can determine the constant of variation, k, by finding the ratio of the y-values (distance) to the x-values (time). Let's calculate this ratio for the given points:
For the points (3, 5), the ratio is 5/3 = 1.67
For the points (6, 10), the ratio is 10/6 = 1.67
We can observe that the ratio of distance to time for all the given points is approximately 1.67, which implies a constant ratio. Therefore, the direct variation equation would be d = 1.67t.
Comparing this equation to the options provided:
A. d = 35t
B. d = 53t (your answer)
C. t = 53d
D. t = 25d
Based on our analysis, the direct variation equation is d = 1.67t, and none of the options match this format. Therefore, none of the given options are correct.
The correct answer would be: None of the above.