Complete question:
A small kennel has budgeted to provide 10 gallons of water for its animals. Each cat receive one eight of a gallon per day and each dog receives one fourth of a gallon per day . Which inequality correctly represent the scenario.
a. 10 < -1/8c - 1/4d
b. 10 ≤ 1/8c + 1/4d
c 10 ≥ -1/8c - 1/4d
d. 10 ≥ 1/8c + 1/4d
Answer:
d. 10 ≥ 1/8c + 1/4d
Explanation:
The kennel was budgeted to provide 10 gallons of water for its animals. The cat receives 1/8 of a gallon per day and each dog receive 1/4 of a gallon per day.
Since 10 gallons was budgeted for the animals the sum of the a gallon per day for the cat and dog will most likely not exceed 10 gallons. The animals will most likely consume less than the budgeted value or equals to the budgeted value.
note that the sum of 1/8 of a gallon for the cat and 1/4 of a gallon for the dog should be either less than 10 or equals to 10. This means 10 ≥ 1/8c + 1/4d .