QUIZ DAY!!

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Please turn in your homework to the cart.

Make sure your name is on it!

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Then clear your desk except a pencil.

NO Calculator!

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When finished with the quiz, please turn it in on the cart and pick up notes for today.

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Then check your homework answers.

Homework Check

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-2 18 9.

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-9 12 3 and -3 -9/17 4 and -4 -4/11 9/4

Rational Functions Applications

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Intro to Rational Applications…

A class party costs Mr. Smith’s class $100.

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a) If there are 4 students splitting the cost, how much does each pay?

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b) If there are 10 students splitting the cost, how much does each pay?

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c) What function/equation represents the cost per student for x students.

Example 1

Your school is renting an indoor water park for a school outing. The water park costs $1500 for the day. a) How many students need to go to the water park so that each person pays $7 each?

b) The water park can hold up to 450 people. Does the park hold enough students so that each person pays only $3 each? Explain.

Example 2

You are planning a school field trip to a local theater. It costs $60 to rent the bus. Each theater ticket costs $5.50.

a) Write a function c(x) to represent the cost per student if x student sign up for the trip.

b) How many students must sign up if the cost is to be no more than $10 per student.

Example 3

Miguel can complete the decorations for a school dance in 5 days working alone. Nasim can do it alone in 3 days, and Denise can do it alone in 4 days. How long would it take the three students working together to decorate?

Example 4

You can paint a fence twice as fast as your sister can. Working together, the two of you can paint a fence in 6 hours. How many hours would it take each of you working alone?

Example 5

A car travels 500 miles in the same time that a train travels 300 miles. The speed of the car is 30 miles per hour faster than the speed of the train. Find the speed of the car and the train.

Example 6

You can travel 40 miles on your motorbike in the same time it takes your friend to travel 15 miles on his bicycle. If your friend rides his bike 20 mi/h slower than you ride your motorbike, find the speed for each bike.

Practice

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A passenger train travels 392 miles in the same time that it takes a freight train to travel 322 miles. If the passenger train travels 20 mi/h faster than the freight train, find the speed of each train.

2.

A church is going on a ski trip. The bus rental is $185 and the cost for ski rentals is $15 per person. How many people would need to go so that each person pays no more than $20?

3.

A large snowplow can clear a parking lot in 4 hours. A small snowplow needs 12 hours to clear the lot. Working together, how long would it take to clear the lot?