An experiment examined the relationship between the number of miles a car traveled, y, per gallon of gasoline and the speed of the car, x, in miles per hour. The table displays the data collected.Car Mileage ExperimentSpeed, x (miles per hour) Miles per Gallon, y20 24.930 28.335 29.140 30.150 30.060 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?
Question
An experiment examined the relationship between the number of miles a car traveled, y, per gallon of gasoline and the speed of the car, x, in miles per hour. The table displays the data collected.Car Mileage ExperimentSpeed, x (miles per hour) Miles per Gallon, y20 24.930 28.335 29.140 30.150 30.060 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?
Solution
The problem involves estimating a value based on a quadratic function model. However, the quadratic function model is not provided in the problem.
If we had the quadratic function, we could simply substitute x = 65 into the function to find the estimated miles per gallon.
Without the function, we can only make an educated guess based on the given data. We can see that the miles per gallon increases as the speed increases from 20 to 50 miles per hour, but then starts to decrease when the speed is 60 miles per hour.
If we assume that this trend continues, we can estimate that the miles per gallon for a speed of 65 miles per hour would be slightly less than the miles per gallon at 60 miles per hour.
So, a reasonable estimate might be around 28.5 to 29 miles per gallon. However, this is only an estimate and the actual value could be different.
To get a more accurate estimate, we would need the actual quadratic function model.
Similar Questions
Based on the data included in the table below, find a quadratic function that fits the data. Does it make sense to use this function when speeds are less than 10 mph? Why or why not?
The given function 𝑔g models the number of gallons of gasoline that remains from a full gas tank in a car after driving 𝑚m miles. According to the model, about how many gallons of gasoline are used to drive each mile?
Use the following regression equation regarding car mileage to answer the question. Highway = 0.892+1.337 (City) Note that City is the estimated miles per gallon (mpg) a car gets while driving on city streets, and Highway is the estimated miles per gallon (mpg) a car gets while driving on highways. What is the expected miles per gallon in the Highway if a car in the City gets 23 miles per gallon? Round to one decimal place.
Jenny is driving on the highway. She begins the trip with 18 gallons of gas in her car. The car uses up one gallon of gas every 35 miles.Let G represent the number of gallons of gas she has left in her tank, and let D represent the total distance (in miles) she has traveled. Write an equation relating G to D, and then graph your equation using the axes below.Equation:
It took a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality that relates the number of miles traveled, y, to the time, x? ResponsesA 166.7 miles per hour166.7 miles per hourB 170.5 miles per hour170.5 miles per hourC 130 miles per hour130 miles per hourD 150 miles per hour
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.