The price of cheddar cheese can be represented by the equation p=8.85w where p is the price in dollars and w is the weight in pounds. Give the constant of proportionality. What are the coordinates of the point representing the cost

Q: The cost (C) of a cabinet varies jointly as its length (I) and width (w). If the cost of the cabinet…

A: Cost varies Jointly as length(l) and Width(w) which means: C α (l)(w) → C = k.l.w  where k is…

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…

A:

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: 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…

A:

Q: If y varies inversely as x2, and y = 3 when x = 10. The equation of variation is? a) Y=3/x2  b) Y=…

A:

Q: The cost(c) of transmitting electric power partly varies as the cube of the distance(d)and partly…

A: Given: The cost(c) of transmitting electric power partly varies as the cube of the distance(d):…

Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: The maximum range of a projectile is directly proportional to the square of its velocity. A baseball…

A:

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: Find an equation of variation where y varies jointly as x and the square of z, and where y = 105…

A: y varies jointly as x and the square of z, and where y=105 when x=55 and z=7

Q: In the equation, is y directly propotional, inversely proportional, or not proportional to x? (a) y…

A: In a linear equation, if the line passes through origin , then it reflects direct proportion.

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

A:

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: The height that a person is above the water is directly proportional to the square of the distance…

A: Given: The height that a person is above the water is directly proportional to the square of the…

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: 1. If x varies directly as y, the equation can be written as A. xy = k B. x = ky С. = X D. xk = y 2.…

A:

Q: The speed (or rate) Josiah travels to work is inversely proportional to time ittakes to get there.…

A: It is given that, the speed (rate) Josiah travels to work is inversely proportional to time ittakes…

Q: The cost of 5 pounds of grapes is $13.90. What is the constant of proportionality that relates the…

A: Given that the cost of 5 pounds of grapes is $13.90. Here x represents the number of pounds of…

Q: The weight a suspension bridge can support, B, in tons, is directly proportional to the square root…

A: Given thatWeight of suspension bridge can support (B)= 1400 tonsWeight of bridge material (w)= 2100…

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

A:

Q: The average number of daily phone calls, C, between two cities varies jointly as the product of…

A: a.)The number of phone calls = CPopulation of one city = P1Population of another city = P2Distance…

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

A:

Q: Write an equation for the proportional relationship shown in the table. x 0.5 1 1.5 2 y 68 136 204…

A: Given table is x 0.5 1 1.5 2 y 68 136 204 274

Q: An airplane has a length of 256 feet and a wingspan of 295 feet. A toy model airplane was designed…

A:

Q: Find the variation constant and an equation of variation where y varies directly as x and y equals…

A: y varies directly as x , so we can write y=kxwhere k is variation constant.

Q: The variables y and x have a proportional relationship, and y = 24 when x = 16.   What is the…

A:

Q: The cost C of steel tubing varies jointly as its length L, in feet, and diameter D, in inches. If a…

A:

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

A:

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: The weight of an object above the surface of Earthvaries inversely with the square of the distance…

A: The weight of an object above the surface of Earth varies inversely with the square of the distance…

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

A:

Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

Q: The intensity of a television signal varies inversely as the square of the distance from the…

A: Consider the given: IntensityIα1distance2Iα1d2I=kd2where,k is constant.

Q: A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on…

A: P=0.005y2-0.02y+118 A). Put y=43 in P=0.005y2-0.02y+118, we get…

Q: Which equation represents a joint variation model?(a) y = 5x (b) y = 5xzw (c) y = 5 / x  (d) y =…

A: a). y=5x is not a joint variation model, because y varies directly with only one variable x. b).…

Q: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of the…

A: Given: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of…

Q: A= Y= 2/3x

A: Given that: A = Y = 23x  B = Y = 2x + 9 C = Y = x2 + 1 D = Y = 6

Q: The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y…

A:

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: During one hour of running mg, Jeff can run 5 miles. The number of miles Jeff runs and the number of…

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: 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 amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: Given data is: The helicopter flies for 2 hours and uses 12 gallons.

Q: Write an equation that expresses the statement. S is proportionalt to the product of the squares of…

A: To express the following statement in an equation S is proportional to the product of the squares of…

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…

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.