he amount of juice in a grapefruit is directly proportional to the cube of its diameter. Let j represent the amount of juice (in fluid ounces) in a grapefruit, let d represent the diameter (in inches) of the grapefruit, and let k be the constant of proportionality. Write an equation that relates j to d. j =   A grapefruit with a 4-inch diameter contains 6 fluid ounces of juice. Use the equation that relates j to d and the known information to find k. k =     How many fluid ounces of juice is contained in a grapefruit with a 5-inch diameter? Round to the nearest tenth of a fluid ounce. -------fl o

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: The volume, V, of a gas varies inversely as the pressure, P, on it. The volume is 2540 cm3  when the…

A:

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 value of a building lot on a certain island is jointly proportional to its area and the quantity…

A: V = value of building A=Area  Q= Quantity of water produced. According to question,

Q: man goes upstream at 6 km/h and the rate of the stream is 2 km/h, then the man’s speed is still…

A:

Q: The volume of blood, B, in a person’s body varies directly as body weight, W. A person who weighs…

A: Given that B varies directly as W.  So, B=KW   Given that, For W=160, B=5  So, 5=K(160) K=5/160=…

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

A:

Q: Suppose M varies directly as a and that M=120 when y=16. Write an equation that expresses the…

A:

Q: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

A:

Q: If p varies inversely with q and p = 5 when q = 6 , find the equation that relates p and q

A:

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 number of miles a car can be driven is proportional to the number of gallons of gasoline that…

A: The number of miles a car can be driven is proportional to the number of gallons of gasoline…

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

A:

Q: The fraction of the senior class S, who has heard about the Cross Country Team state victory…

A:

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: 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: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

A:

Q: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

A: Given

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

A:

Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

A: Explanation of the answer is as follows

Q: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

A: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

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: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

A:

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given:A force of 200 pound keeps a car of weigth 3200 pound from skidding on curve of radius400ft at…

Q: If y varies inversely as x, and y = 30 when x =5, find the variation constant and the corresponding…

A: y varies inversely as x i.e.. when x increases y decreases and vice versa.

Q: The light intensity, I , of a light bulb varies inversely as the square of the distance from the…

A: Given

Q: The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the…

A: Given:

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

A:

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 volume, V, of a gas varies directly as the temperature, t, and inversely as the pressure, P. At…

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: 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: A recipe calls for 3 scoops of fruit to make 9 jello bowls. What is the constant of proportionality…

A: Given 3scoops of fruits make 9jello bowls

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

A:

Q: The volume of a box (V) varies directly with its length (). If the box has a volume of 360 cubic…

A: Volume ×length   v×l

Q: A small amount of crude oil is used for manufacturing plastic. Scientists estimate that about 3…

A: Given 3 fluid ounces of crude oil is used to manufacture 1 million plastic bottles.

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 loudness L of a sound (measured in decibels dB) is inversely proportional to the square of the…

A: Given that the loudness L of a sound (measured in decibels dB) is inversely proportional to the…

Q: Cameron prepared 16 kilograms of dough after working 4 hours. How many hours did Cameron wörk if he…

A: We are given to assume linear relationship between time and amount of dough prepared

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: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

A:

Q: 5. If A varies directly as r and A = 33 and r= 11, find the equation of variation.

A:

Q: . If y is directly proportional to x, and y = 56 when x = 6, what is the value of x when y = 84?

A: Given: y is directly proportional to xy α xy=kxk is a  proportional constant

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: The value of y varies directly with x, and the constant of variation is 6. What is the value of x…

A:

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.