Question

8. Write an inequality to represent the following constraint.Mowing a large yard (x) uses 0.3 gallons of gasoline, and mowing a small yard (y) uses 0.2 gallons of gasoline. There are 6 gallons of gasoline available. ______ ≤ _______

Answer 1

0.3x + 0.2y ≤ 6

Step-by-step explanation:

If mowing a large yard uses 0.3 gallons of gasoline, mowing x large yards will use 0.3 times x gallons of gasoline which can be written as

0.3x

In the same way, if mowing a small yard uses 0.2 gallons of gasoline, mowing y small yards use 0.2 times y gallons of gasoline which can be written as

0.2y

Therefore, the total gallons of gasoline will be

0.3x + 0.2y

However, this has to be less than or equal to 6, then

0.3x + 0.2y ≤ 6