Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below. (0,6)
(3, 0)
A.6
B.3
C.-2
D.2

Explanation:

The average rate of change from x = 0 to x = 3 is exactly the same as the slope of the line through the two points (0,6) and (3,0)

m = slope

m = (y2 - y1)/(x2 - x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

The average rate of change is -2. The negative result indicates the slope is going downhill as you move from left to right.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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