Car Insurance

Rates• A rate is a ratio used to compare

different kinds of measurements. Car Insurance • Ex: Jeep Wrangler - $1200 a year• Ex: Porsche Cayman- $3600 a

year

Unit rate

• A unit rate is a rate with a denominator of 1.

Car Insurance• Ex: Jeep Wrangler $100 a month• Ex: Porsche Cayman $300 a month

Percent Change

• Percent changes are useful to help people understand changes in a value over time.

• The car value depreciates 15% each year.

The Jeep Wrangler

Year Value1 $20,000.002 $17,000.003 $14,500.004 $12,325.005 $10,476.25

Percent Change

• The car value depreciates 30% each year.

Porsche CaymanYear Value1 $100,000.002 $70,000.003 $49,000.004 $34,300.005 $24,010.00

Point to pointThe data is decreasing at a

decreasing rate Jeep Wrangler

Year Value1 $20,000.002 $17,000.00 30003 $14,500.00 25004 $12,325.00 21755 $10,476.25 1848.75

Point to pointThe data is decreasing at a

decreasing rate Porsche Cayman

Year Value1 $100,000.002 $70,000.00 $30,000.003 $49,000.00 $21,000.004 $34,300.00 $14,700.005 $24,010.00 $10,290.00

Average rate of changeJeep Wrangler

Year Value1 $20,000.002 $17,000.00 30003 $14,500.00 25004 $12,325.00 21755 $10,476.25 1848.75

The average rate of change is the constant rate of change that an object would have to travel in order to travel the same “distance” over the same interval of “time” as the original objects.

The AROC is $20,000.00-$10,476.251-5

$9,523.75 -4 $2,380.94

On average, it decreases $2,380.94 per year.

Average rate of change for the Porsche Cayman

Year Value1 $100,000.002 $70,000.003 $49,000.004 $34,300.005 $24,010.00

The AROC is $100,000-$24,010.00

1-5$75,990 -4 $18,997.50

On average, the value decreases $18,997.50 per year.

Dependent/Independent

Independent variables are the cause and the dependent variables are the effect.

• Jeep Wrangler: The cost of your car insurance depends on how good of a driver you are.

Dependent Variable: The cost of your car insurance.Independent Variable: How good of a driver you

are.• Porsche Cayman: The cost of your car insurance

depends on your age.Dependent variable: The cost of your car insurance.Independent variable: Your age.

Domain and Range - Jeep Wrangler

• Domain is the set of x-values and the range is the set of y- values.

Year Value1 $20,000.002 $17,000.003 $14,500.004 $12,325.005 $10,476.25

•The domain is { 1,2,3,4,5}

•The range is { $10,476.25, $12,325.00, $14,500.00, $17,000.00, $20,000.00}

Domain and Range for the Porsche Cayman

• The domain is { 1,2,3,4,5}

• The range is { $24,010.00,$34,300.00,$49,000.00,$70,000.00,$100,000.00}

Year Value1 $100,000.002 $70,000.003 $49,000.004 $34,300.005 $24,010.00

Graph Sketch

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PorcsheJeep

Bibliography!• http://www.robertniles.com/stats/

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