The fuel tank in Alisha’s car holds
16.5 gallons, and the car gets 24miles per gallon for city driving and 30miles per gallon for highway driving. Which inequality represents the range of the total number of miles,
m, Alisha can drive on a tank of gas?
16.5 gal * 24 mi/ gal = 396 miles
16.5 gal * 30 mi/gal = 495 miles
so
396 </= miles </= 495
Well, let me do some math with a side of humor for you. Total mileage count, m, can be expressed as the product of the number of gallons, g, and the number of miles per gallon, mpg. So for city driving, you have 16.5 gallons multiplied by 24 miles per gallon. And for highway driving, you have 16.5 gallons multiplied by 30 miles per gallon. Now, let's try to find the inequality that represents the range of the total number of miles Alisha can drive on a tank of gas. Since we want to find the range, we can use the symbol '<=', which stands for "less than or equal to." Therefore, the inequality would be:
(16.5 gallons) * (24 miles per gallon) <= m <= (16.5 gallons) * (30 miles per gallon).
And there you have it! The range of the total number of miles Alisha can drive on a tank of gas can be represented by the inequality (16.5 gallons) * (24 miles per gallon) <= m <= (16.5 gallons) * (30 miles per gallon). I hope that was both informative and mildly amusing!
To find the range of the total number of miles Alisha can drive on a tank of gas, we need to consider both city driving and highway driving.
For city driving, the car gets 24 miles per gallon. So, the maximum distance Alisha can drive in the city is 24 * 16.5 = 396 miles.
For highway driving, the car gets 30 miles per gallon. So, the maximum distance Alisha can drive on the highway is 30 * 16.5 = 495 miles.
Therefore, the total range of the total number of miles Alisha can drive on a tank of gas can be represented by the following inequality:
396 ≤ m ≤ 495
To determine the range of the total number of miles Alisha can drive on a tank of gas, we need to consider both city driving and highway driving. We can calculate the maximum and minimum distances separately and then combine them to form an inequality.
For city driving, Alisha gets 24 miles per gallon. Therefore, she can drive a maximum of 24 * 16.5 = 396 miles on a full tank.
For highway driving, Alisha gets 30 miles per gallon. Therefore, she can drive a maximum of 30 * 16.5 = 495 miles on a full tank.
Thus, the inequality representing the range of the total number of miles Alisha can drive on a tank of gas is:
396 ≤ m ≤ 495