Solve the Problem Assume That the Horizontal Distance Travelled Varies Linearly with the Up

question 164

Multiple Choice

Solve the problem.
-Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with
Which she throws. $$\begin{array} { l | c c c c c } \text { Initial speed( in } \mathrm { ft } / \mathrm { sec } ) , \mathrm { v } & 10 & 15 & 20 & 25 & 30 \\\hline \text { Horizontal distance of the rock (in feet) , } \mathrm { d } & 9.9 & 14.8 & 19.1 & 24.5 & 28.2\end{array}$$ Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown.
Using a graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal
Distance of the rock if the initial speed is 33 ft/sec.

• A) 26.67 feet
• B) 34.76 feet
• C) 31.34 feet
• D) 31.33 feet

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