Question

Jamar and his family frequently drive from their home to​ Jamar's grandparents' house in another state. Because much of the drive is across the​ desert, Jamar's parents are usually able to drive at a constant rate for the entire trip. Some data about a typical​ one-way trip are shown in the accompanying table. The car travels ___ miles per gallon and the tank holds ______ here gallons of​ gas, so the total distance traveled is the product of these two​ numbers, _____ here miles. At what​ rate, in miles per​ hour, do​ Jamar's parents​ drive? Write a unit rate that describes how long the​ one-way trip takes in hours and minutes per trip D. 8 hours and 4 minutes per trip B. 9 hours and 15 minutes per trip C 8 hours and 24 minutes per trip 15 hours and 8 minutes per trip

Answer 1

Jamar's parents drive at a rate of approximately 68.29 miles per hour. The one-way trip takes 8 hours and 12 minutes.

Step-by-step explanation:

To determine the rate at which Jamar's parents drive, we need to find the average speed of the car. The total distance traveled is the product of the car's mileage and the tank's capacity. From the table, the car travels 40 miles per gallon and the tank holds 14 gallons, so the total distance traveled is 40 miles/gallon * 14 gallons = 560 miles.

To find the rate in miles per hour, we divide the total distance by the time it takes to complete the trip. The table states that the trip takes 8 hours and 12 minutes. Converting minutes to hours, we have 8 hours + (12 minutes / 60 minutes/hour) = 8.2 hours. Dividing the total distance of 560 miles by the time of 8.2 hours, we get a rate of approximately 68.29 miles per hour.

To express the one-way trip in hours and minutes per trip, we need to convert the time to hours and minutes. Since 8 hours is already given, we just need to add the minutes. The table states that the trip takes 12 minutes, so the one-way trip takes 8 hours and 12 minutes.