You are on a 650-mile trip by car. Your car used eight gallons of gas to travel the first 210 miles of the trip at the same rate. How much more gas will you need to make it the rest of the way?
8/210 = x/650
Cross multiply and solve for x.
21
8/210 = x/440
210x = 3520
x = 3520/210
x = 16.76 gallons
nhn h
To find out how much more gas you will need to make it the rest of the way, we need to determine how much gas was consumed per mile for the first 210 miles.
Gas consumption per mile can be calculated by dividing the total gas used by the total distance traveled:
Gas consumption per mile = Gas used / Distance traveled
In this case, for the first 210 miles, the gas consumption per mile would be:
Gas consumption per mile = 8 gallons / 210 miles
Now, we can use this gas consumption rate to find out how much gas would be required for the remaining distance of 650 - 210 = 440 miles.
Gas required for the remaining distance = Gas consumption per mile * Remaining distance
Therefore, the amount of additional gas you will need to make it the rest of the way is:
Additional gas required = Gas required for the remaining distance - Gas used for the first 210 miles
Now, let's calculate it:
Gas consumption per mile = 8 gallons / 210 miles
Gas required for the remaining distance = Gas consumption per mile * 440 miles
Additional gas required = Gas required for the remaining distance - 8 gallons
Calculating the values:
Gas consumption per mile = 8 / 210 ≈ 0.038 gallons/mile
Gas required for the remaining distance = 0.038 gas/mile * 440 miles ≈ 16.72 gallons
Additional gas required = 16.72 gallons - 8 gallons ≈ 8.72 gallons
Therefore, you will need approximately 8.72 gallons of additional gas to make it the rest of the trip.