Ms. Rodriguez wants to compare the gas mileage of two vehicles, vehicle A and vehicle B.
. Vehicle A gas mileage is 37 miles per gallon.
. the linear relationship between the number of gallons of gas in vehicle b tank and the total miles driven is shown.
Vechicle B´s Gas mileage
gallons of gas in tank Total car mileage
10 12,284
9 12,326
8 12,368
7 12,410
complete the statements comparing the gas mileage of the two vehicles.
vehicle B´s gas mileage is ___________ miles per gallon. therefore, ____________ is able to drive more miles per gallon.
To calculate vehicle B's gas mileage, we can use the linear relationship between the number of gallons of gas in the tank and the total car mileage. From the given data, we can see that when there are 10 gallons of gas in the tank, the total car mileage is 12,284. Similarly, when there are 9 gallons of gas, the total car mileage is 12,326, and so on.
To find the gas mileage, we need to divide the change in total car mileage by the change in gallons of gas in the tank. Let's calculate it:
Gas mileage for vehicle B = (Total car mileage at 10 gallons - Total car mileage at 9 gallons) / (Gallons of gas at 10 gallons - Gallons of gas at 9 gallons)
= (12,326 - 12,284) / (9 - 10)
= 42 miles per gallon
Therefore, vehicle B's gas mileage is 42 miles per gallon. Comparing with vehicle A's gas mileage of 37 miles per gallon, we can conclude that vehicle B is able to drive more miles per gallon.
To compare the gas mileage of vehicle A and vehicle B, we first need to find the gas mileage of vehicle B.
Given the information about vehicle B's gas mileage:
Gallons of gas in tank Total car mileage
10 12,284
9 12,326
8 12,368
7 12,410
To find the gas mileage of vehicle B, we can calculate the difference in total car mileage when the gas in the tank decreases by one gallon.
The difference in total car mileage when the gas decreases by one gallon is calculated as:
12,326 - 12,284 = 42
12,368 - 12,326 = 42
12,410 - 12,368 = 42
Since the difference in total car mileage is the same for all three cases, the gas mileage of vehicle B is 42 miles per gallon.
So, the completed statements comparing the gas mileage of the two vehicles are:
Vehicle B's gas mileage is 42 miles per gallon. Therefore, vehicle B is able to drive more miles per gallon.
To compare the gas mileage of vehicle A and vehicle B, we need to find the gas mileage of vehicle B (in miles per gallon) using the given data.
We know that the gas mileage is the number of miles driven divided by the number of gallons of gas in the tank. In this case, we have the data for the total car mileage when the tank has a certain number of gallons:
10 gallons -> 12,284 miles
9 gallons -> 12,326 miles
8 gallons -> 12,368 miles
7 gallons -> 12,410 miles
To find the gas mileage of vehicle B, we can calculate the difference in total car mileage for each pair of consecutive data points and divide it by the difference in the number of gallons in the tank. This will give us the miles per gallon.
Let's calculate the gas mileage for each pair of consecutive data points:
For the first pair (10 gallons, 12,284 miles) and (9 gallons, 12,326 miles):
Gas mileage = (12,326 miles - 12,284 miles) / (10 gallons - 9 gallons) = 42 miles/gallon
For the second pair (9 gallons, 12,326 miles) and (8 gallons, 12,368 miles):
Gas mileage = (12,368 miles - 12,326 miles) / (9 gallons - 8 gallons) = 42 miles/gallon
For the third pair (8 gallons, 12,368 miles) and (7 gallons, 12,410 miles):
Gas mileage = (12,410 miles - 12,368 miles) / (8 gallons - 7 gallons) = 42 miles/gallon
As we can see, the gas mileage of vehicle B is consistently 42 miles per gallon based on the given data points.
Therefore, vehicle B's gas mileage is 42 miles per gallon. Comparing it to vehicle A, which has a gas mileage of 37 miles per gallon, vehicle B is able to drive more miles per gallon.