At a certain time of day, a tree 15 m tall cast a shadow of 12 m, while a second tree cast a shadow of 20 m. how tall is the second tree?

25 metres tall.

The heights of the trees are directly proportional to the length of their shadows because at the same time of day, the sun will be at the same angle in the sky.

The trees and their shadows form 2 similar triangles:
Write as a proportion:

heightshadow x20=1512

12x=20×15

x=20×1512

x=25 metres tall.

As check: find the constant for each tree:

1512=1.25 and 2520=1.25

i hope this help

A linear graph is one with a line which has the same slope throughout. In this case, you can tell that the line doesn't have the same slope all the way through because it flats and also decreases in one section.

Increasing will mean the line's slope is positive, or it tends to go upwards. The slope will be constant, 0, so it's just a horizontal line. The slope of the line will decrease is negative, and it tends to go downwards. In this case, this would mean that segment k is., as it seems to go upwards, l is constant, because it's a horizontal line, and would be decreasing because it's going downwards.

I might assume that the ant began moving away from the hole for 2 seconds, then stopped for 3 seconds, and then went back to the hole for 3 seconds again.

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~Mia for short~