Question

Deshawn and Chris are playing soccer. Chris takes a shot on goal from 25 feet away. Deshawn can reach the top of the 8-ft goal when standing. The function that models the height of the ball across the field is ()=−.(−)+f of , open x close , equals negative , 0.05 . Open x minus 16 close squared . Plus 11.

Answer 1

Yes, Chris will score

Explanation:

Given the function :

F(x) = - 0.05(x - 16)² + 11

Distance from goal = 25

Height of goal = 8

Scoring condition, if ball isn't blocked :

If the ball travels a distance of 25 feets towards goal and elevation of ball isn't greater than 8 feets, then Chris will score ;

Function which models ball height with respect to distance, x

Put x = 25 in the equation and se if f(x) < 8 feets

F(25) = - 0.05(25 - 16)² + 11

F(25) = - 0.05(9)² + 11

F(25) = - 0.05 * 81 + 11

F(25) = - 4.05 + 11

F(25) = 6.95 feets

Hence, Chris would score if ball isn't vlaocjed by DeShawn because the height of ball is lower than the height of the goal.