The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3?   Enter your answer in the box.

Q: It costs a family $324.00 to buy a 10-ft-by-12-ft rug. If the cost is proportional to the area, what…

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Q: In this equation, y=15x. What is the constant of proportionality?

A: Constant of proportionality is K then y/x = k is relation y = 15x y/x = 15 so that k = 15 i.e.…

Q: Given that y varies directly with the square of x, and y=10 when x= 5, find  (a) y when x= 20…

A: Form the equation of y as varies according to x with the help of given point.

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: The table and equation below show the proportional relationship between time, in seconds, x, and…

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Q: If a 1600 foot bridge weighing 2100 tons supports 1400 tons, find the constant of proportionality k.…

A: Given:The weight a suspension bridge can support (B) = 2100 tonsBridge’s total length (l) = 1600…

Q: The equation y=5.5x represents a proportional relationship. What is the. Instant of proportionality?

A: Proportional relationship: If y is directly proportional to x then we can write y α x ⇒y = kx, where…

Q: The value of y is directly proportional to the value of x. Given y = 12 when x= 36. What is the…

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Q: The volume of a pyramid varies jointly as the height and the area of the base. Suppose a pyramid has…

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Q: b. Use the equation y = 3.2x + 5 to fill in the table. Is y proportional to x and y? Explain why or…

A: The given equation is y=3.2x+5. A The given value of x=1. Substitute x=1 in the equation y=3.2x+5…

Q: Which of the following equations represents a linear proportional function? y = 4x + 9 y = 6x 2y = x…

A: The solution for the above question is as shown below.

Q: The amount of water used to take a shower is directly proportional to the amount of time that the…

A: This question is based on the concept of direct proportion Amount of water(w) is directly…

Q: Select the equations that show a proportional relationship between x and y. a) y = 8x b) y = 6x c) y…

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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: Determine the constant of proportionality, k, given y directly proportional to x  and y= 400 when…

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Q: What is the constant of proportionality in the equation y=2/3x? constant of proportionality =

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Q: The circumference of a circle, C is directly proportional to the diameter of the circle, d. If when…

A: Circumference of a circle is given by C=π×d Where d is diameter of the circle

Q: Which equation represents a proportional relationship with a constant of proportionality greater…

A: Given : To determine the equation that represents a proportional relationship with a constant of…

Q: Translate the statement of variation into an equation, and use k as the constant of variation: The…

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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: The value of y is directly proportional to the value of x. Given y = 11 when x = 77.

A: y and x are directly proportional.

Q: Select the equations that show a proportional relationship between x and y. y = 7x y = 4x

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Q: ook a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality…

A: Given that  It took a racecar driver 3 hours and 20 minutes to go 500 miles.  Number of miles (y) =…

Q: Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers…

A: First we have write the proportionality equation with assuming proportionality factory as alpha.

Q: The school store sells 2 pencils for 25 cents. What is the constant of proportionality of cents per…

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Q: Tuto Lillian knit a total of 12 centimeters of scarf over 2 nights. How many nights will Lillian…

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Q: At the local dairy farm, Kareem buys a 32 oz container of yogurt for $2.56. Jonah buys a 6 oz…

A: Given data is : Kareem buys a 32 oz container of yogurt for $2.56 Jonah buys a 6 oz container of…

Q: 7. If y varies inversely as the square root of x, what is the constant of proportionality if y = 16…

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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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Q: The area, A square feet, of the wall Ivan is painting is directly proportional to the time he spends…

A: Given, The area A in square feet of the wall Ivan is painting is directly proportional to the time…

Q: Which one represents a proportional relationship? O y=kx O y=kx+5 O y=kx-5 O y=k/x+2 In this…

A: Step:- 1 Part (1) Proportional Relationship:- Let x and y be two variables form proportional, then…

Q: The cost, y, for x pounds of nails can be respresented by y=3.20x what is the constant of…

A: Given equation, y=3.20x

Q: Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she…

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Q: Explain why each relationship is not proportional. (Explore Activity) 4. 0. 4 6 8 y 3 7 11 15 19 2-…

A: If 'y' is proportional to 'x' then it can be expressed as, Here, 'k' is a constant. 3. Given: x…

Q: Suppose the relationship between x and y is proportional. When x is​ 29, y is 275.5. Find the…

A: Given that y is proportional to x yαxy = k x ....(1)where k is proportionality constantgiven when x…

Q: Which equations represent proportional relationships? (you may select multiple choices) O A. y= 3x –…

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Q: The surface area of a cube with length x is proportional to the square of its length. What is the…

A: We have to find the constant of proportionality for the given information.

Q: The number of views on a social media video, v, is jointly related to the number of followers, f,…

A: To rearrange the equation to isolate f ,  Given : V = kfd

Q: Select the equations that show a proportional relationship between x and y. y = 10x y = 8x - 1

A: Given, The two equations  y = 10x  and  y = 8x-1  We have to select the equation that shows a…

Q: The relationship between the cost, y, in dollars, ar the pounds of steel bought, x, can be modeled…

A: The relation between cost y in dollars and pounds of steel bought=x

Q: Find the constant of variation and the variation equation. y varies directly as the square root of…

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Q: which linear equation represents a proportional relationship between the values of x and y? Y = 6.2x…

A: we assume proportion ratio of x and y is k so, relation between them will be xy=ky=xk…

Q: The relationship between x and y is proportional. When x is 29, y is 275.5. Write an equation that…

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Q: There is a proportional relationship between th the amount of juice (in ounces) he makes, y. x…

A: According to the given information it is required to find the constant of proportionality from the…

Q: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

A: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

Q: Tina bought a school kit that has six pencils and two erasers. Since the number of erasers is…

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Q: If y varies directly with the square root of x and inversely with z, what is the constant of…

A: Given that, y varies directly with the square root of x and inversely with z. y α xz y=kxz…

Q: At the beginning of​ summer, a maintenance crew refills a swimming pool at a city park. The…

A: Function: In mathematics, a function is a relation between two sets that relates each element of the…

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.