While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see the ball hit near the top of a 300-foot tall tower that he had not noticed. The formula for this shot is: h ( x)=-16x2 +120x where h is the height of the ball and x is the number of seconds the ball is in the air. A. How could Marc mathematically try to prove that he hit the ball near the top of the tower? Or is he just making up this story? B. How high did Marc actually hit the ball?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
While on the golf course last weekend Marc
hit into the rough landing the ball behind a
tall tree. His best option was to get it high
enough to get over the tree and hopefully
come down in the fairway for his next shot.
So with a mighty swing, he hit the ball into
the air and was surprised to see the ball hit
near the top of a 300-foot tall tower that he
had not noticed.
The formula for this shot is:
h ( x)=-16x2 +120x where h is the height
of the ball and x is the number of seconds
the ball is in the air.
A. How could Marc mathematically try to
prove that he hit the ball near the top
of the tower? Or is he just making up
this story?
B. How high did Marc actually hit the ball?
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