Answer:
y= -60x+ 200
Explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200