Answer:
D
Step-by-step explanation:
Standard equation of the circle is at the origin But this is only when the center of the circle is at (0,0). In the quesiton stated the center is (-1/2, √57) .
When the center isn't (0,0) the equation is (h,k) is center and r is radius.
So inputting the center (-1/2, √57) and radius = in the equation:
For this case we have that the relationship is direct.
Therefore, we have:
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
From here, we clear the value of k:
Therefore, the relationship is:
For 1428 kilometers we have:
Clearing the amount of fuel we have:
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers