Graph the line that represents a proportional relationship between d dd and t tt with the property that an increase of 3 33 units in t tt corresponds to an increase of 8 88 units in d dd.

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

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Q: is inversely proportional to the price he charges. The vendor wants to decide if increasing :5 hot…

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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: If total revenue is R = 50Q – 2Q². At what value of Q will marginal revenue be – 10? А. З В. 20 С.…

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Q: If a is directly proportional to b and if a = 30 when b = 21, what is the value of a when b = 10…

A: Question number 30,Given,          a is directly proportional to b and a=30 whne b=21. Also when…

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: 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: Let x represent the number of bags of M&M's purchased and let y represent the number of Hershey bars…

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

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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: Which one displays a proportional relationship?

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Q: If y is inversely proportional to the square root of x and y is 2 when x is 9, what is when x is 4?

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Q: Given that y is inversely proportional to x and the fact that y = 23 when x = 15, determine the…

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Q: If g is proportional to h and the constant of variation is 22, what is the value of g when h=11?

A: Given: g is proportional to h. Constant of variation is 22. The objective is to find the value of…

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: This question is based on linear equation.As per given condition in question we form a equation.bio

Q: 2. The intensity at which an object is illuminated varies inversely as the square of its distance…

A: Let the intensity of the light be N and the distance from the light source be d.  Then we have that…

Q: a. f(t)= et, cost, 0 2TT.

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Q: Given that h is inversely proportional to x and the fact that h = 15 when x = 21, determine the…

A: Given h is inversely proportional to x. So, h∝1x. i.e. h=k1x Where k is constant.

Q: Graph the line that represents a proportional relationship between y and x where the unit rate of…

A: Given, unit rate of change of y with respect to x is 10/7

Q: Graph the line that represents a proportional relationship between ddd and ttt with the property…

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Q: Assume that r varies directly as P. what is the constant of proportionality if R equals three when P…

A: Given r varies directly as p . we find the constantof proportionality if r ⊂ 3 and p=15

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

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

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Q: If y is inversely proportional to the square of x, and y = 4 when x = 3, find y when x = 6.

A: Given, If y is inversely proportional to the square of x, and y = 4 when x = 3

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

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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: find the constant of variation k   p is inversely proportional to q. when q is 8, p is 20

A: Given that p is inversely proportional to q. That is, p = (k/q).Given that, the value of p is 20 and…

Q: m varies directly as n, and m = 14 when n = 7. a) Write a direct proportion equation that relates m…

A: Solution: The objective is find the values of m and n

Q: The time traveled, t is the inversely proportional to the rate, r, traveled, and the constant of…

A: Given that the time taken to travel is inversely proportional the rate. Let t denotes the time taken…

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: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given that an increase of 3 units in t corresponds to an increase of 4 units in d.  To determine the…

Q: The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire…

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Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when…

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: The DeWitt Company has found that the rate of change of its average cost of producing a product is C…

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Q: Graph the line that represents a proportional relationship between d and t with the property that an…

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Q: The volume V of a given mass of gas Varies directly as the temperature T and inversely as the…

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Q: X and Y are inversely proportional with each other. Given that X = 15000 when Y = 162500. Find X…

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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: rate of change

A: It is given that an increase of 3 units change in t corresponds to 4 unit change in d. We have to…

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

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

A: The constant of proportionality is the ratio of two directly proportional quantities. Two quantities…

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: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

A: Given problem:- If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) =…

Q: Consider a cylinder with a radius of 1cm and a height of 3cm. Find the change in the volume of the…

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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: Suppose  c  is inversely proportional to the square of  d. If  c=8  when  d=2⁢, find the constant of…

A: Given, c is inversely proportional to the square of d.

Q: Tom works for a constant hourly wage of w dollars. Which choice shows the correct relationship…

A: Tom's total earning of the week = e total no of work hours = h wage per hour = w

Q: 8. 7. 6. 4. 3. sn

A: 8  First co-ordinate of graph is a,b=0,0 Second co-ordinate of graph is c,d=2,1 The expression for…

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given: Proportional relation between d and t. There will be an increment of 3 units in t corresponds…

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.