Answer:

Step-by-step explanation:
The average rate of change can be found by using the following formula

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!

Good luck!
Answer:
Speed of river's current = 5 mph
Step-by-step explanation:
Let 'd' be the distance covered
Let x be the speed of the rivers current
Speed upstream = 15-x
speed downstream = 15+x
Time = distance / speed
time upstream = 
time downstream = 
the ferry trip upstream takes twice as long as its return trip downstream
= 
divide both sides by d
= 
cross multiply


Add 2x on both sideds

subtract 15 from both sides and divide by 3

x=5
Speed of river's current = 5 mph
Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line. This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
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