Question

problem:
will the ball clear the crossbar of the goal post, which is 10 feet off the ground?
recall, the vikings field goal attempt can be represented by this equation
( y = -0.1x^2 + 4x )
where ( y ) is the height of the ball, and ( x ) is the distance the ball has traveled.
the ball must travel a total of 40 yards to the goal post. therefore, ( x = 40 ). we need to find ( y ) to see if the ball is high enough to go over the crossbar of the goal post.

solve the equation when ( x = 40 ). this will show the balls height, in feet, when it reaches the goal post.
( y = -0.1x^2 + 4x )
enter the correct answer.

Explanation:

Step1: Substitute $x=40$ into equation

$y = -0.1(40)^2 + 4(40)$

Step2: Calculate squared term first

$y = -0.1(1600) + 4(40)$

Step3: Compute multiplication terms

$y = -160 + 160$

Step4: Sum the values

$y = 0$

Answer:

When $x=40$, the ball's height is 0 feet. The ball will NOT clear the 10-foot crossbar.