SOLUTION: The gas tank on your car holds 21 gallons. If you get between 16 and 18 miles per gallon depending on conditions, write an inequality stating how far you can on a tank of gas.

Algebra ->  Inequalities -> SOLUTION: The gas tank on your car holds 21 gallons. If you get between 16 and 18 miles per gallon depending on conditions, write an inequality stating how far you can on a tank of gas.       Log On


   

Question 993929: The gas tank on your car holds 21 gallons. If you get between 16 and 18 miles
per gallon depending on conditions, write an inequality stating how far you can on a tank of gas.

Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The least distance you can travel is:
+16%2A21+=+336+
The greatest distance is:
+18%2A21+=+378+
Let +d+ = the distance in miles you can travel
+336+%3C=+d+%3C=+378+b

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x is the number of miles you can go on a tank of gas.

if you get 16 miles per gallon, then x = 21 * 16.

if you get 18 miles per gallon, than x = 21 * 18.

x has to be greater than or equal to 21 * 16.

x has to be less than or equal to 21 * 18.

if x is greater than or equal to 16 * 21, then 16 * 21 must be less than or equal to x.

you can now write your inequality as 16 * 21 is less than or equal to x which is less than or equal to 18 * 21.

the symbol for less than or equal to is <=.

your inequality can therefore be expressed as 16 * 21 <= x <= 21 * 18.

simplify this further to get:

336 <= x <= 378

this says that the minimum number of miles you will travel on a tank of gas is 336 miles and the maximum number of miles you will travel on the same tank of gas is 378.