Question

One liter is approximately 1.06 quarts. Write a direct variation equation that relates x liters to y quarts.

a. y = 1.06x
b. x = 1.06y
c. y = x/1.06
d. x = y/1.06

Answer 1

The correct direct variation equation relating x liters to y quarts, given that one liter is approximately 1.06 quarts, is y = 1.06x.

Step-by-step explanation:

The question asks for a direct variation equation that relates x liters to y quarts, given that one liter is approximately 1.06 quarts. Since we are dealing with a direct variation, the relationship between the two measurements will be proportional, meaning as one value increases or decreases, the other will as well in a predictable fashion.

The correct direct variation equation, based on the given information, is y = 1.06x. This equation means that for every 1 liter (x), there are 1.06 quarts (y). If you were to increase the number of liters, you would multiply that number by 1.06 to find the corresponding number of quarts.