This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Nya bought a pre-owned hybrid car. The table shows the mileage of the car given the amount of gasoline used since Nya purchased the car.
Gasoline Used (gallons)50 100 150 200
Mileage18,980 21,580 24,180 26,780
Select the equation in point-slope form to represent the mileage of the car $y$ after using $x$ gallons of gasoline.
A$y-26,780=50(x+200)$
B$y-24,180=52(x+150)$
C$y-21,580=50(x-100)$
D$y-18,980=52(x-50)$
Part B
Graph the equation on a separate piece of paper and interpret its key features in the context of the situation.
The $y$-intercept is (0, □ ). This means that the mileage of the car was □ miles when Nya purchased it.
The rate of change is □ , so the car can travel about □ miles per gallon of gasoline.
Because the equation only provides information about the gasoline used since Nya purchased the car, and Nya cannot use a □ ,
Part A
Nya bought a pre-owned hybrid car. The table shows the mileage of the car given the amount of gasoline used since Nya purchased the car.
Gasoline Used (gallons) | 50 | 100 | 150 | 200 |
Mileage | 18,980 | 21,580 | 24,180 | 26,780 |
A$y-26,780=50(x+200)$
B$y-24,180=52(x+150)$
C$y-21,580=50(x-100)$
D$y-18,980=52(x-50)$
Part B
Graph the equation on a separate piece of paper and interpret its key features in the context of the situation.
The $y$-intercept is (0, □ ). This means that the mileage of the car was □ miles when Nya purchased it.
The rate of change is □ , so the car can travel about □ miles per gallon of gasoline.
Because the equation only provides information about the gasoline used since Nya purchased the car, and Nya cannot use a □ ,