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Lesson Objective: 4.01a Students will know how to solve word problems using slope

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In 2005, Joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear, what was the rate of growth of the tree?

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What does “rate of growth” mean? Slope!

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Remember the slope equation: In order to find the slope we need two points

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In 2005, Joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear, what was the rate of growth of the tree? Remember, x is always years, so replace x 2 with the second year and x 1 with the first

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In 2005, Joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear, what was the rate of growth of the tree? Replace y 2 with the height from the second year and y 1 with the first

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Simplify the top Simplify the bottom Simplify the fraction to get m. Keep it as a fraction if it can’t be simplified

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In 2005, Joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear, what was the rate of growth of the tree? The slope is 2, so the tree grows 2 feet per year

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In 1995 a public library had 16,000 books on its shelves. In 1999 the library had 19,000 books. Assuming a linear increase, how many books were added to the library each year?

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We’re looking for how many for each year, usually the word “each” means slope.

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In 1995 a public library had 16,000 books on its shelves. In 1999 the library had 19,000 books. Assuming a linear increase, how many books were added to the library each year? Years are always x so replace the x’s with the years Replace the y’s with the number of books for each year

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Replace y 2 with and y 1 with Replace x 2 with 1999 and x 1 with 1995 Simplify the top and the bottom Reduce the fraction

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In 1995 a public library had 16,000 books on its shelves. In 1999 the library had 19,000 books. Assuming a linear increase, how many books were added to the library each year? m = 750, therefore the library adds 750 books each year

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Monica feeds her dog the same amount of dog food each day from a very large bag. ON the 3 rd day, she has 44 cups left in the bag, and on the 11 th day she has 28 cups left. How many cups of food does she feed her dog a day?

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Wendy bought a car for $25,000 and its value depreciated linearly. After 3 years the value was $21,250. What was the amount of yearly depreciation?

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Jamal’s parents give him $20 to spend at camp. Jamal spends the same amount of money on snacks each day. After 4 days he has $12 left. How much money is he spending each day?

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