Isaac and Robin are standing at approximately the same location. Isaac throws an

Question

Isaac and Robin are standing at approximately the same location. Isaac throws an apple in the air. Its path can be modeled with the quadratic function y = ?1/15x^2 + 3x + 2, where x represents the apples horizontal distance in feet and y represents the apple?s vertical distance in feet. After the apple travels more than 2 feet (horizontal distance), Robin shoots an arrow in the air, piercing the apple. For the first 40 feet of its trajectory, its path can be modeled with the linear function y = 3/8x + 6, with x representing horizontal distance and y representing vertical distance. How many feet does the arrow travel horizontally before it hits the apple? (Round your answer to the nearest tenth of a foot.) __________________

Explanation / Answer

equ of apple

y=-1/15x^2+3x+2

eqn of arrow

y=3/8x+6

when arrow hit the apple they same co.ordinate

3/8x+6=-1/15x^2+3x+2

1/15x^2-21/8x+4=0

x1=1.59 less than and x2=37.79ft

x=37.79ft is answer

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