The distance traveled by a bus varies directly with the weather. The bus traveled 240 km in 3 hours. What is the constant of proportionality.

Q: The maximum weight that a circular column can support is directly proportional to the fourth power…

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Q: The table shows a proportional relationship between the number of cartons of eggs, X, and the cost…

A: Given y(Branson) = 2x where  y = cost of x cartons of eggs x = number of cartons of eggs. y(Branson)…

Q: Write the variation equation for x and y, if y varies directly as x, and y = 12 when x = 18. Then…

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Q: A construction team gives an estimate of three months to repave a large stretch of a very busy road…

A: Given Three months = 15 members Also the relationship between construction time and crew members…

Q: The price of cheddar cheese can be represented by the equation p=8.85w where p is the price in…

A: The given equation is: p=8.85w where p is the price in dollars and w is the weight in pounds.

Q: The amount of time it takes mail carriers to deliver the mail in one town is inversely proportional…

A: It is inverse ratio propotional problem.

Q: You would think that your blood alcohol content (BAC) would be directly proportional to how many…

A: We will use appropriate model to solve this. Note- you can also use      BAC = K* ( N ) as well to…

Q: A recipe says to use 2 teaspoons of vanilla to make 36 muffins. What is the constant of…

A: Given, y: no of muffins made. x: no of teaspoons of vanilla used. the constant of proportionality k…

Q: The population of a small island is growing at a rate that is proportional to its size. In the year…

A: given: the population of a small island is growing at a rate that is proportional to its size. in…

Q: Kelly's office recycled a total of 162 kilograms of paper over 9 weeks. After 12 weeks, how many…

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Q: Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of…

A: Solution: From the given information, Hector used 6 cups of milk, 3 eggs and 9 cups of pancake mix.

Q: Based on her recipe, Elena knows that 5 servings of granola have 2250 calories. Complete the table…

A: Given that 5 servings of granola have 2250 calories. Then, 1 serving of granola will have 22505=450…

Q: The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends,…

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Q: Identify the constant of variation and equation for the inverse variation. {(1,9), (-1,-9),…

A: According to the problem

Q: The weight M of an object on Mars varies directly as its weight E on Earth. A person who weighs one…

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Q: The volume (V) of wood in a tree varies jointly as the height (h) and the square of the girth (g).…

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Q: The power in an electrical system varies jointly with the current in the square of the resistance.…

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Q: Suppose you have a 42-inch TV that is 57 centimeters tall by 96 centimeters wide. You want to…

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Q: one cleaning solution uses 1 part vinegar with 2 parts water. cleaning solution uses 2 parts vinegar…

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Q: Suppose that the number N of popsicles sold at the fair varies inversely to a price P. When the…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.