## College Algebra (6th Edition)

The recommended safe distance for the given speed is $124$ feet
The formula that models the recommended safe distance is $$S=0.015x^{2}+x+10$$ The speed given is $60$ miles per hour. Substitute $x$ by $60$ in the formula given to obtain the recommended safe distance when traveling at the given speed: $S=0.015(60)^{2}+60+10=...$ $...=0.015(3600)+60+10=...$ $...=54+60+10=124$ feet The recommended safe distance for the given speed is $124$ feet