Final answer:
Mr. Kirkson uses approximately 24 4/13 gallons of water per square foot to water his garden each week. The closest answer choice given is 24.31 gallons per square foot, which may be a rounded figure.
Step-by-step explanation:
To determine how many gallons of water Mr. Kirkson uses per square foot to water his garden each week, we need to divide the total water usage by the total area watered. Given that Mr. Kirkson uses 316 gallons to water every 13 square feet of his garden, we calculate the water usage per square foot.
We divide 316 gallons by 13 square feet:
316 gallons / 13 sq. ft. = 24.3076923 gallons/sq. ft.
As a fraction in simplest form, this is approximately 24 4/13 gallons/sq. ft, or using mixed numbers, 24 4/13 gallons/sq.ft. However, among the provided choices, the closest is 24.31 gallons/sq.ft (choice a), which may have rounded the decimal, whereas the question seems to ask for a fraction in simplest form, which is not one of the options provided.