The following situation involves a rate of change that is constant. Write a statement that describes how one variable changes with respect to the​ other, give the rate of change numerically​ (with units), and use the rate of change rule to answer any questions.   During a​ 6-week weight-loss​ regimen, Tony lost weight at a rate of 0.2pounds per day. How much did he lose after 11 days? After 3 ​weeks?   Which statement describes this​ situation?     A. Time varies with respect to the weight lost with a rate of change of −0.2 lbs/day.   B. The weight lost varies with respect to time with a rate of change of −0.2​lbs/day.   C. The weight lost varies with respect to time with a rate of change of −0.2​days/lb.   D. Time varies with respect to the weight lost with a rate of change of −0.2​days/lb. How much weight did Tony lose after 11 days?   After 11 days, Tony lost ? pound(s). ​(Type an integer or a​ decimal.)   How much weight did Tony lose after 3 weeks?   After 3 weeks, Tony lost ? pound(s)

Q: The volume of a sphere is decreasing at a constant rate of 5398 cubic meters per second. At the…

A:

Q: A satellite that is launched vertically is tracked by a radar station located on the ground 4 km…

A: Here the height of the horizontal distance between the launch pad and the radar, the height of the…

Q: Suppose that a = b. %3D What is the rate of change of a with respect to b? Select one: O a? O 3b…

A: Here given that  13a3=b  We have to find the rate of change of a with respect to b.

Q: Which of the following is the most appropriate unit to describe the rate at which water flows over…

A: Time in days is the independent quantity and water is the dependent quantity.

Q: Daily crude oil production by Pemex, Mexico’s national oil company, for 2008-2013 could be…

A:

Q: According to the Association of American Railroads, Class I freight railroads are the line-haul…

A: The following table shows the U.S gross domestic product in trillions of dollars as function of the…

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of…

A: To determine the instantaneous rate of change of q with respect to p.

Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: Which statement is true? OA. There is not enough information to determine the rate of change of…

A:

Q: Suppose that the demand for a product depends on the price p according to 60,000 1. D(p) p2 p > 0 2…

A:

Q: 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is described by the v(1) =…

A: Given problem:- 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is…

Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

A:

Q: Suppose that the quantities whose values are represented s and r are related by a constant rate of…

A: Sol: Given     1) S T     2)   57.2     3) -10.7 12.9     4) 2.7 -45.7     5) 7.1…

Q: If A square units is the area of an isosceles right triangle for which each leg has a length of x…

A:

Q: The following situation involves rate of change that is constant. Write a statement that describes…

A: 1-degree change​ (increase or​ decrease) on the Celsius temperature scale is equivalent to a nine…

Q: 5. The concentration of a drug in the bloodstream t hours after the injection is given by is the…

A: C(t)=4.35 e-tRate of change of concentration;dCdt=ddt(4.35 e-t)dCdt=-4.35 e-tRate of change after 1…

Q: 1. Some psychologists contend that the number of facts of certain type that are remem- bered after t…

A: Answer is mentioned below

Q: Suppose ℎ(?)=?2+12?+7. Find the instantaneous rate of change of ℎ(?) with respect to ? at ?=2.The…

A: Given,

Q: If up is measured as being positive, the height of a ball rising after being thrown has a rate of…

A:

Q: 4. The weight, M, of an astronaut on the moon is directly proportional to the weight, E, on Earth.…

A: Explanation and solutions is given below......

Q: 4. What is the rate of change described by the points in the table? change in y/change in x) * -1/3…

A:

Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A: S = kW89differentiating wrt to time t:dsdt = k89W89-1dwdt

Q: Which equation represents instantenous rate of change in f when x = a: Average rate of change in f…

A: Given, instantenous rate of change in f when x = a: Average rate of change in f from a to x: Net…

Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 P = 29…

A:

Q: The volume of a sphere is increasing at a constant rate of 2379 cubic feet per minute. At the…

A: dV/dt=2379 cubic feet per minute V=891 cubic feet

Q: Bicycle Z O Bicycle Y 30 Bicycle Y 20 Bicycle X O Bicycle X 10 O Bicycle Z 1 3. 4 Time (seconds)…

A: Here we want to know faster rate of change

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: Solving for b partWe know that, the percentage rate of change for the function is the value of the…

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

A:

Q: How well does the average rate of change describe how the mold changes for these 6 days?

A: Formula used : Average rate of change of f (x) in between a and b is  f(b) - f(a) / b-a

Q: Outside of the box question: The number of treated mosquitoes increased from 20 to 2000 within 8…

A: Rate of change of mosquitoes

Q: What is the constant rate of change between the quantities in the table? Number of T-Shirts Total…

A:

Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

A:

Q: The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December…

A: Given: It is provided that the graph shows the approximate value of the CPI from December 2006…

Q: What is the rate of change shown by the data in the table? Distance from Time in seconds motion…

A: Time in seconds 0 1 2 3 4 As we can see from the above table that there is difference of 1 sec in…

Q: gallons per minutě. (àJ För U 3 S 6, determine when the wat level is rising and when it is falling.…

A:

Q: For which value of x is the instantaneous rate of change in the function graphed below negative? 2 1…

A:

Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

A: According to the given question dxdt∝x.

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: If the pressure P of the rocketť's gas at an altitude z, temperature T is decaying at a rate…

A: Given:

Q: Does the following table of values describe a liner fuction? If it does what is the rate of change.…

A: Given values : x y 0 -5 2 -1 4 3 6 7

Q: A typical male's body surface area S in square meters is often modeled by the formula S = 0 Vwh ,…

A: S=160wh Here, height of a person is  'h' cm and weight of a person is  'w' cm.

Q: S (number of sunspots) 160 120 80 40 1960 1970 1980 1990 2000 2010 t (year)

A: Yes, there any interval during which the average rate of change of sunspots with respect to time was…

Q: Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the…

A: Rate of increasing height of the water in a tank= 3.7 cm/min, Time (in min) Height of water (in…

Q: The following situation involves a rate of change that is constant. Write a statement that describes…

A: Given, Distance traveled varies with respect to time with a rate of change of 4.3​mi/h.

Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A: SOLUTION-

Q: If g(x) = 3x + 6x2 + 4. What is the value of the instantaneous rate of change of g(x) when x = -1?…

A:

Q: Suppose that the quantities whose values are represented s and r are related by a constant rate of…

A: Consider, in the below table s and r are related by a constant rate of change. s r    x1 y1…

Q: The number of people infected by a disease can be represented by D(t) = 2', where D represents the…

A:

Q: Find the Rate of Change of the gasoline usage. Gasoline Usage 15 14 13 12 11 10 25 50 75 100 125 150…

A: The given graph between Miles driven and Gasoline tanks usages. We have to find the rate of change…

Q: Ay of Ax 6. Determine the constant rate of change, each table of values

A: Rate of Change = Change in Y / Change in x.