Transcript Applications of Linear Equations

Applications of Linear Equations
• A distance question:
– Steve travels 80 miles in the same time it takes
Mary to travel 180 miles. Mary travels at a rate of
50 miles per hour faster than Steve.
– Find each person’s rate of speed.
Applications of Linear Equations
• The Working Together Question
– Rob and Bob are painting a house. If they were
working alone, it would take Rob twice as long to
paint the house as Bob. But, working together,
they could paint the house in 2 days.
– Find the amount of time it would take each
painter to paint this house on his own.
Applications of Linear Equations
• The Mixture Question:
– Melvin the mad scientist needs a 20% solution of
rubbing alcohol. In the lab, he has a 15% solution
and a 30% solution.
– How many liters of 15% solution should be added
to 3 liters of the 30% solution to create a 20%
solution?
Applications of Linear Equations
• The Investment Question
– Sara Lee wants to invest $14,000 for retirement.
She plans to invest part of the money in 6%
bonds, and part of the money in the stock market.
– At the end of one-year, her stock market fund
came in with a 9% return and her total interest
earned from the 2 investments was $1005.
– Find the amount she had originally invested in
each product.