We are given that a car starts a journey with a full tank of gas. The equation
relates the number of gallons of gas (y) left in the tank to the number of miles the car has traveled(x).
A. We will find y intercept by substituting x=0 in our equation,
![y=16-0.05*0](https://tex.z-dn.net/?f=y%3D16-0.05%2A0)
![y=16](https://tex.z-dn.net/?f=y%3D16)
Now let us find our x-intercept by substituting y=0 in our equation,
![0=16-0.05x](https://tex.z-dn.net/?f=0%3D16-0.05x)
![0.05x=16](https://tex.z-dn.net/?f=0.05x%3D16)
![x=\frac{16}{0.05}=320](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B16%7D%7B0.05%7D%3D320)
Therefore, x-intercept is 320 and y-intercept is 16.
B. Our x-intercept represents that after travelling 320 miles there were 0 or none gallons of gas left in tank.
C. Our y-intercept represents that there were 16 gallons of gas in car tank when car started the journey.
The initial amount was 200 dollars.
If you sub in 0, you get the amount at 0 months.
Rate of change is the slope. You are losing -75 a month, which is the rate of change.
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