A scuba tank started with 70 cubic feet of air and was empty after a 10-minute dive. ..... Assume the rate of change is linear and complete the table. Time elapsed |(in min) Amount of air in scuba tank (in cubic feet) 70 ft3 1 2 ft 3 3 ft 14 8 3 ft 10

Q: 5. Calculate the rate of change by analyzing the differences in the y-values and the differences in…

A: Rate of change can be found using following formula :

Q: Find the rate of change. Cube root 3√x with respect to x when x = 1, 8, 27

A: Consider the given: fx=x3ddxfx=ddxx3ddxfx=ddxx13ddxfx=13x13-1ddxfx=13x23

Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

A:

Q: find the average rate of change of ∫: From 1 to 2

A: The average rate of change between two input values is the total change of the function values…

Q: Find the average rate of change of the function ?(?) = 4?^3 on [1,6]

A:

Q: b) is supposed to be rounded to 1 decimale place, i cant figure it out.

A: Consider the given model function as t(x) = 0.181x2 – 8.463x +147.376.(a) The rate of change of the…

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: The brain mass of a fetus can be estimated using the total mass of the fetus by the function…

A: Use chain rule to find dm/dt.

Q: A square has a side length that is decreasing at a rate of 8 cm per second. What is the rate of…

A:

Q: The brain mass of a fetus can be estimated using the total mass of the fetus by the functionb =…

A: To find the rate of change of total mass

Q: The graph of a linear function is shown. Find the rate of change of y with respect to x.

A:

Q: Suppose that the boy’s weight was increasing at the rate of 7 kilograms per year and his height was…

A: We know that, BMI=Bodyweight in kilogramHeight in meters2⇒B=wh2

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

A:

Q: Which function has the greater rate of change? (b) How much greater is it?

A: The slope of function gives the rate of change function. The slope of equation passing through two…

Q: The function f(t)=2600(1.002)^{t}f(t)=2600(1.002)t represents the change in a quantity over t…

A: Given an exponential function     ft=26001.002t

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: The water level of a lake is increasing by h cm every week. Time (week) 1 3 water level (h cm) 10.5…

A: Richardson extrapolation formula for derivative  f'(x) =f(x+h) -f(x-h)2h

Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

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

A: (a) The rate of change of the time for a 14-year-old swimmer to swim 100-meter freestyle:Substitute…

Q: The ”Wellhead“ pricepof natural gas in the United States (in dollars per1000ft3) on the first day of…

A:

Q: Explain : What is the average rate of change of a function?

A: Average rate of change: The average rate of change of a function is defined as the average rate at…

Q: The initial bacterium count in a culture is 2300. A biologist later makes a sample count of bacteria…

A:

Q: e. An airplane flying on a straight flight path will be exactly above a radar tracking station,…

A: Given: Perpendicular distance between station and plane is 5,000 km.   To find rate of distance of…

Q: The humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate…

A:

Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

A: We will find in how many year the population of country will be five times as shown below

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: The average rate of change of the height of water in a vase with respect to the volume of water in…

A: Given, the average rate of change of the height of water in a vase with respect to the volume of…

Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: Given that , h=48 inch r1=3 feet , r2=5 feet find average rate of change in volume.

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: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: Find the average rate of change of g(a) = 3x -3 from a = -4 tox = 4. %3D > Next Question

A:

Q: regardless of which two points on a line you find the average rate of change of, the slope is always…

A: Average rate of change of slope of a line is always 0.

Q: The graph of a linear function is shown. Find the rate of change of y with respect to x

A: We can find the rate of change as below.

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: a. Compute P'(t). How fast was GE's annual net income changing in 2008? (Be careful to give correct…

A: Here,  Given P(t)=1.6t2-15t+46we have to find P'(t)differentiate P(t) with respect to t, we…

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: The table below shows the average diameter of a pupil in a person's eye as he or she grows older.…

A: Given data:   The least age of the person is a=20 years. The average pupil diameter of the person at…

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: Use a numerical example to explain the difference between the rate of change and the level of change…

A:

Q: A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth…

A:

Q: Consider the function.   What is the approximate average rate of change of the function from…

A: Average rate of change is ratio of difference of output and difference of input.

Q: The median weight, ?, of a girl between ages 0 and 36 months can be approximated by the function ?…

A:

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: Find the rate of change in the percent of individuals free of headache pain over the given time span…

A: It is clearly seen in the graph that, Percent of individuals free from headache pain after t1 = 0.5…

Q: What is the average rate of change of a function?

A: What is the average rate of change of a function?

Q: The table below gives the population of the small (imaginary) town of Wisteria. What is the average…

A: Given information: A table describing the population of the small (imaginary) town of Wisteria from…

Q: The blood pressure P measured in millimeters of mercury of an adult x years old is given by P(x) =…

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…