a baseball team manager is trying to determine how the angle at which a ball leaves a players bat impacts the distance the ball travels. the table shows the average distance a baseball travels based on the launch angle of the ball. the quadratic function ( y = - 0.32x^{2}+20.61x + 5 ) models this data. use the function to estimate the distance a baseball would travel if it were hit at a ( 55^{circ} ) angle. round your answer to the nearest whole number. feet

Question

Accepted Answer

# Explanation:
## Step1: Substitute $x = 55$ into the quadratic function
Given the function $y=-0.32x^{2}+20.61x + 5$, when $x = 55$, we have:
$$
\begin{align*}
y&=-0.32\times(55)^{2}+20.61\times55 + 5\
\end{align*}
$$
## Step2: Calculate $(55)^{2}$
$(55)^{2}=55\times55 = 3025$
$$
\begin{align*}
y&=-0.32\times3025+20.61\times55 + 5\
\end{align*}
$$
## Step3: Calculate $-0.32\times3025$ and $20.61\times55$
$-0.32\times3025=-968$
$20.61\times55=(20 + 0.61)\times55=20\times55+0.61\times55=1100+33.55 = 1133.55$
$$
\begin{align*}
y&=-968+1133.55 + 5\
\end{align*}
$$
## Step4: Calculate the sum
$y=-968+1133.55+5=170.55$

# Answer:
$171$

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Question

Explanation:

Step1: Substitute \(x = 55\) into the quadratic function

Step2: Calculate \((55)^{2}\)

Step3: Calculate \(-0.32\times3025\) and \(20.61\times55\)

Step4: Calculate the sum

Answer: