Catrinas boat has come untied and floated away on the lake. she is standing atop a cliff that is 35ft. above the water in the lake. If she stands 10ft. from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. her eye level is 5 1/2 ft. above the ground. approximately how far from the cliff is Catrinas boat?

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

the first sequence is an arithmetic sequence.