Answer:
y=-0.2x+5. Correct choice: A)
Step-by-step explanation:
Modeling With Equations
Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:
After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)
After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)
A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct
Testing the second point (15,2): y=-0.2*15+5=2. Correct
This is the correct choice.
B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct
Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect
Incorrect choice.
C) This equation is equal to the choice B), thus this one is incorrect.
D) y=5x-0.2. The first point (5,4) yields to:
4=5*5-0.2=24.8 Incorrect.
