NO HOMEWORK QUIZ TURN IN WORK!!!!!! Rational Review.

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Presentation transcript:

NO HOMEWORK QUIZ TURN IN WORK!!!!!!

Rational Review

As X approaches infinity

Asymptotes and Discontinuity

Domain and Range

Translation

Inequality

Most tunnels are drilled using tunnel-boring machines that begin at both ends of the tunnel. Suppose a new underwater tunnel is being built and one tunnel-boring machine alone can finish the tunnel in 4 years. A different type of machine can tunnel to the other side in 3 years. If both machines start at opposite ends and work at the same time, when will the tunnel be finished?

Let x = number of years together

Equation:

Let x = number of years together Equation:

Solve equation: multiply by common denominator (4)(3)(x).

If both machines work toward each other it will take 1.7 years to finish the tunnel.

A car travels 300 km in the same time that a freight train travels 200 km. The speed of the car is 20 km/hr more than the speed of the train. Find the speed of the car and the speed of the train.

Let x = speed of train Let x + 20 = speed of car

A car travels 300 km in the same time that a freight train travels 200 km. The speed of the car is 20 km/hr more than the speed of the train. Find the speed of the car and the speed of the train. Let x = speed of train Let x + 20 = speed of car

Use the formula d = rt. Solve for “t”.

t = d/r Use the formula d = rt. Solve for “t”.

t = d/r Use the formula d = rt. Solve for “t”.

t = d/r Use the formula d = rt. Solve for “t”.

t = d/r Use the formula d = rt. Solve for “t”.

Solve: multiply by the common denominator (x + 20)(x).

Speed of train = x = 40 km/hr

Speed of car = x + 20 = 60 km/hr

Speed of train = x = 40 km/hr Speed of car = x + 20 = 60 km/hr

A boat travels 20 miles upstream(means against the current) with a current going 4 miles/hour. The boat makes the trip THERE AND BACK in 5 hours. What is the SPEED OF THE BOAT?