The formulia $v=\sqrt{23 r}$ models the maximum safe speed, $v$, in miles per hour, at which a car can tratud Gn a curved road with radius of curvature $r$, in feet. A highway crew measures the radius of curvature at an cosit liamp on a highway as 710 feet. What is the maximum safe speed?
for this probien, round your answer DOWN to the nearest whole number. (Think: Why is this type of rounding aggropriate for this scenario?)
max salte speed $=$
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Step 1 ：The question is asking for the maximum safe speed a car can travel on a curved road with a radius of curvature of 710 feet. The formula given is \(v=\sqrt{23 r}\), where \(v\) is the speed and \(r\) is the radius of curvature.

Step 2 ：We need to substitute \(r\) with 710 and solve for \(v\).

Step 3 ：After finding \(v\), we need to round down to the nearest whole number because it's safer to drive at a lower speed than the calculated maximum safe speed.

Step 4 ：Substituting \(r\) with 710 in the formula \(v=\sqrt{23 r}\), we get \(v=\sqrt{23*710}\).

Step 5 ：Solving this, we get \(v=127\).

Step 6 ：Final Answer: The maximum safe speed is \(\boxed{127}\) miles per hour.