The arch of a bridge can be modeled by y=-(1)/(170)(x-225)(x+225), where x and y are measured in feet. The x-axis represents the ground. Find the width of the arch of the bridge…

Question

The arch of a bridge can be modeled by
`y=-(1)/(170)(x-225)(x+225)`, where
`x` and
`y` are measured in feet. The
`x`-axis represents the ground. Find the width of the arch of the bridge at ground level.

Answer 1

Answer is provided in the image attached.

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Answer 2

450 feet at ground level

Explanation:

The width of the bridge at ground level will be where the function intercepts the x-axis also known as the roots or zeros of the function. They are found using the zero product property to set each factor equal to 0.

This means (x-225) = 0 and (x + 225) = 0. So x = -225, 225.

This means the width is the absolute value of |-225| + 225 since distance cannot be negative. This makes it 450 feet.