<em>Complete Question:</em>
<em>Select all of the pieces of information that would tell you x and y have a proportional relationship. </em>
<em>Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x </em>
<em>1. After 4 minutes, the turtle has walked 12 feet away from the rock. </em>
<em>2. The turtle walks for a bit, then stops for a minute before walking again. </em>
<em>3. The turtle walks away from the rock at a constant rate. </em>
Answer:
1. After 4 minutes, the turtle has walked 12 feet away from the rock.
3. The turtle walks away from the rock at a constant rate.
Step-by-step explanation:
Given
Required
Determine which of the options answers the question
Recall that:
Analyzing the options 1 after the other:
Option 1:
In this option, we have that:
Substitute these values of x and y in the given equation
Because both sides of the equation are equal, this option shows a proportional relationship
Option 2:
The given equation cannot be used to ascertain the information given in this option.
Because for a every time (in minutes) traveled by the turtle, there's a corresponding distance moved.
Option 3:
Recall that
Assume
y would be
Assume
y would be
For every values of x and corresponding y value, there exist a constant relationship because:
This implies that the rate at which the turtle moved is 3ft/s and this rate is constant.