Question

If a person who is 5 feet tall throws a ball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet. x y 0 5 1 6.75 2 8 3 8.75 4 9 5 8.75 which quadratic equation models the data in the table?

Answer 1

The quadratic equation  is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.

The complete question is

If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.

(table is in the photo below)

Which quadratic equation models the data in the table?

y= −0.25x2 + 2x + 5.5

y= −0.35x2 + 2x + 5.5

y= −0.27x2 + 3x + 5.5

y= −0.15x2 + 2x + 5.5

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

What is an Equation ?

When  two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.

The standard form of the Quadratic equation is

y = ax² + bx + c

here a, b and c are constants.

From the given data in the table

at point (0, 5.5)

5.5 = a(0)² + b(0) + c          

at point (1, 7.35)

7.35 = a(1)² + b(1) + c    

at point (2, 8.9)

8.9 = a(2)² + b(2) + c    

The system of equations will be solved to determine the value of a,b and c

a= -0.15, b = 2, c = 5.5

Therefore , The quadratic equation  is y = -0.15x² + 2x + 5.5 .

To known more about Equation

brainly.com/question/10413253

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