Question

Let d equal the distance in meters and let t equal the time in seconds. Which is a direct variation equation for this :my. answers can be A:d=3/5 TB:d= 5/3 TC: T= 5/3 TD:T=2/5 d

Answer 1

• x-axis is time axis (T)

,

• y-axis is distance axis (d)

So, the T is the independent variable and d is dependent variable

The equation will be in the form:

d = mT

We eliminate choices C and D.

Now, let's find m, the slope.

To find it from a graph, just take 2 points and see how many units, both horizontally and vertically, you have to go from 1 point to another.

Let's take (0,0) and (3,5)

So, we have to go 3 units horizontally and 5 units vertically to go from (0,0) to (3,5)

The slope is RISE/RUN

The run is 3

The RISE is 5

So,

m = 5/3

The equation becomes:

d = mT

d = 5/3 T

Correct Answer Choice: B