Final answer:
To solve for 'x' in the equation 979 gallons / 17 seconds = x gal/1 s, divide both sides by 17, giving x ≈ 57.59 gallons/s. The correct option is c.
Step-by-step explanation:
To solve for 'x' in the equation: 979 gallons / 17 seconds = x gal/1 s, we can set up a proportion. Since the units on both sides of the equation are gallons per second, we can multiply both sides of the equation by 17 to eliminate the seconds. This gives us:
979 gallons = 17x gallons/s
To solve for 'x', divide both sides of the equation by 17:
x = 979 gallons / 17
Simplifying the right side of the equation gives:
x ≈ 57.59 gallons/s
Therefore, the value of 'x' in the equation is approximately 57.59 gallons/s, which corresponds to option c.