Final answer:
To find your aunt's knitting speed, divide the length she knitted (5/9 foot) by the time taken (2/3 hour), resulting in a speed of 0.83 feet per hour, answer choice (A).
Step-by-step explanation:
To calculate your aunt's knitting speed in feet per hour, you'll need to divide the length of the sweater she knitted by the time it took her to knit it. Her knitting speed is the ratio of distance (in feet) to time (in hours).
The sweater's length is 5/9 foot and the time taken to knit it is 2/3 hour. To find out how many feet she knits in one hour, you can set up a proportion as follows:
Speed = Distance / Time
Speed = (5/9) / (2/3)
Speed = (5/9) × (3/2) // Multiply by the reciprocal to divide fractions
Speed = 5/6
Speed = 0.83 feet per hour
Therefore, your aunt's knitting speed is 0.83 feet per hour, which corresponds to answer choice (A).