Question

An archer shoots an arrow up towards a target located on a hill, which is shown by the graph. Which set of equations best models the point of intersection of the arrow and the target?
y = –0.008x2 + 0.2x + 7 and y = 0.12x
y = 0.008x2 + 0.2x + 7 and y = 0.12x
y = –0.008x2 + 0.2x + 7 and y = x
y = –0.008x2 + 0.2x + 7 and y = –x

Answer 1

The set of equations best models the point of intersection of the arrow and the target is:

y = –0.008x² + 0.2x + 7 and y = 0.12x.

What are the equations of the point of intersection?

To find the equations, we have to look at two things.

• The coordinates of the point.

• The behavior of the arrows trajectory, that is, if it's concave up or concave down.

The coordinates of the point are (35, 4.2), hence the best linear representation is:

y = 0.12x.

This leaves the first two options. The trajectory is concave down, which removes the second option, hence the correct option is:

y = –0.008x² + 0.2x + 7 and y = 0.12x.

A similar problem, involving a point of intersection, is given at brainly.com/question/11337174

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