An experiment examined the relationship between the number of milles a car traveled, y , per gallon of gasolline and the speed of the car, x , In miles per hour. The table displays the data collected. Car Mileage Experiment Speed, x (miles per hour) Miles per Gallon, y 20 24.9 30 28.3 35 29.1 40 30.1 50 30.0 60 29.1 Speed, x (miles per hour) Miles per Gallon, y 20 24.9 30 28.3 35 29.1 40 30.1 50 30.0 60 29.1 A quadratic function can be used to model the data in the table. Which value best estimates the miles per gallon when the speed is 65 miles per hour? (ब) 27.9 (B) 31.0 (C) 40.2 (D) 24.9
To find the best estimate for the miles per gallon when the speed is 65 miles per hour, we can use the quadratic function that models the data from the table.
Using a quadratic regression on the given data, we get the equation:
y = -0.0233x^2 + 3.7449x - 27.192
Plugging in x = 65 into the equation, we get:
y = -0.0233(65)^2 + 3.7449(65) - 27.192
y ≈ 40.2
Therefore, the best estimate for the miles per gallon when the speed is 65 miles per hour is approximately 40.2.
The correct answer is (C) 40.2.