Explanation:
you only need to really read and understand the question. most of this is solved just by common sense.
so, don't panic, just really look at the text and pictures and WANT to solve it.
1.
clearly, every new number is half of the previous number (previous number divided by 2).
so, the next number after -6 is -6/2 = -3
2.
with every new triangle, we get 3 new line segments (every side is a line segment).
and with every new picture we get one additional triangle.
so, it goes with 3n.
that means picture 20 has 3×20 = 60 line segments.
3.
there is a multiplication by 2. and because the sign flip-flops, the factor is -2.
so, the next element is -24×-2 = 48
4.
150 is the starting value. that part will not change. and then you add $20 every week. so, it will grow by 20×number of weeks.
therefore, 150 + 20w is correct
5.
the combined lengths of the fish. that is the key thing here.
so,
4×2 + 7×1 + 1×3 = 8 + 7 + 3 = 18 in.
the line in the graph is
y = x + 4
because the starting value for x = 0 is y = 4.
and then the slope goes 1:1 up.
for every inch more we have to add a gallon.
so, we have x = 18 in, that gives us y = 18 + 4 = 22 gallons