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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Final Answer: The maximum safe speed is $127$ miles per hour.

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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 $127$ miles per hour.

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