2.4 LINEAR MODELS. Slope Intercept Form: Linear Modeling.
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Transcript of 2.4 LINEAR MODELS. Slope Intercept Form: Linear Modeling.
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2.4 LINEAR MODELS
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Slope Intercept Form: Linear Modeling
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A rental agency rents their equipment for $12 per hour and requires a flat fee of $25. Write a linear model that shows the cost, y in terms of hours rented, x.
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Standard Form- Linear Modeling
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The marching band holds a fund raiser each year in which they sell t-shirts and sweatshirts. T-shirts cost $7 while sweatshirts cost $15. The band needs to raise $3000. Write a model to show the number of t-shirts and sweatshirts they need to sell to reach their goal?
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The base pay of a water delivery person is $210 per week. He also earns 20% commission.
•Find slope, what does it represent?
•Find the y-intercept, what does it represent?
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You are sent to the store to buy sliced meat for a party. Roast beef cost $4.29/lb and Turkey cost $3.99/lb. Write an equation to relate the pounds of each you could buy with $30.
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Write an equation in standard form to find the minutes someone who weighs 150 lbs would need to bicycle and swim laps in order to burn 300 calories.
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Scatter Plot
scatterplot shows the relationship between two sets of data.
correlation shows the type of relationship that exist between sets of data.
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More with Correlation
•Positive correlation As x increases, y increases.
•Negative Correlation As x increases, the y decreases.
•No Correlation Two sets of data do not relate to each other – one set has nothing to do with the other
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A trend line is a line that approximates the relationship between the data sets of a scatterplot. You can use a trend line to make predictions.
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Line of Best FitGive more accurate predictions of lines through use of the graphing calculator.
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- Find the line of best fit.
-Use your model to predict the wing spanwhen L=20.
-Use your model to predict how long a
hawk is with a wing span of 40 inches.
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•When YEARS are involved, never use the exact year, use the amount of time passed!
•Let x = 0 represent the beginning year!
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You Try! •Use your model to predict the year that the number of crimes was 6000.
•Use your model to predict the crime rate in 2009.
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Example
•Predict the time it will take to travel 30 miles.
•Predict the speed after 1 hr.