Fiona adds Ib of fertilizer for every 12 Ib of peat moss. What is the constant of proportionality for the relationship between the weight of the fertilizer and the weight of the peat moss?

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: 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: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

A: It is known that when a qunatity is directly proportional to another quantity, a constant k is added…

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: The number of kilograms of water in the human body varies directly with the mass of the human. A…

A:

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…

A:

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient…

A: A patient weighing 132 pounds requires 143 milligrams of medicine. So, patient weighing 1 pounds…

Q: Nathan's graduation picnic will cost $15 if it has 3 attendees. If there are 4 attendees, how much…

A: The cost of Nathan's graduation picnic is C = $15 if it has 3 attendees. To evaluate : The cost of…

Q: The volume of a gas varies inversely as the pressure upon it. The volume of agas is 200 cm3 under a…

A: Find the answer below,

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patlent…

A: A certain medicine is given in an amount proportional to a patient's body weight.Suppose a patient…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

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

A:

Q: Fiona adds Ib of fertilizer for every 12 lb of peat moss. What is the constant of proportionality…

A:

Q: The number of klograms of water in a human body varies directy as the mass of the body. A 90-kg…

A:

Q: The distance traveled by a bus varies directly with the weather. The bus traveled 240 km in 3 hours.…

A:

Q: Many areas of Northern California depend on the snowpack of the Sierra Nevada mountain range for…

A: Lets assume volume of water produced from melting snow = y Volume of snow = x Given that volume of…

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

A:

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: Which one displays a proportional relationship?

A:

Q: The population of Turkey is increasing while the population of Hungary is decreasing. What constant…

A:

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

A:

Q: The table shows the relationship between the number of parents in a household and the number of…

A: Given Data : Number of parents Number of children 0 0 1 3 1 5 2 4 2 1 For the number…

Q: Fiona adds lb of fertilizer for every 12 Ib of peat moss. What is the constant of proportionality…

A: Given for every 12 lb of peat moss , Fiona adds ¾ lb of fertilizer Weight of peat moss 0< Weight…

Q: The work W required to lift an object varies jointly with the object's mass m and the height h that…

A: Here, W=k*m*h The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. So,…

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…

A:

Q: Priya uses 1 tablespoon of sugar for every 4.25 cups of flour to make bread dough. What is the…

A:

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

A:

Q: he constant prop

A: Word Problem: 5lb bag apple cost 4.50.  8 lb bag apple cost 7.52. We need to find 1 lb of bag apple.…

Q: The mass of a spherical solid is inversely proportional as its density and the cube of its…

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: A recipe calls for 15 oz of flower for every 8 oz of milk. Is the relationship between oz of…

A: Given that a recipe calls for 15 oz. of flour for every 8 oz. of milk. From given statement it can…

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: The weight of a can of soup is jointly proportional to its height and to the square of its diameter.…

A: Given according to question

Q: Since YouTube first became available to the public v(t) = 1.1t2 – 2.6t + 2.3 million hour

A:

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: 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: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A:

Q: Find a direct variation model that relates y and x. x = −28, y = 4

A: A direct variation model is of the form y=kx  Where k=constant

Q: The electrostatic force between two electrically charged particles varies inversely as the square of…

A: Given: The electrostatic force between two electrically charged particles varies inversely as the…

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: Find a direct variation model that relates y and x. x = 10, y = 20

A: Explanation :-  Direct Variation:- If y is directly proportional to x, then we write y = k x where k…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

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: 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: The constant of proportionality in the table is 5. Enter the missing numbers in the table to…

A: as constant of proportionality is 5. passengers =5*cars

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.