A scuba tank started with 40 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) 2 3 ft 4 ft 10 8.

Q: The time rate of change of an alligator population P in a swamp is proportional to the square of P.…

A:

Q: The radius of a sphere is increasing at a rate of 20 inches per minute. Find the rate of change of…

A: Given : The increasing radius of the sphere is drdt=20. To find the rate of change of volume of a…

Q: a snowball melts in such a way that the rate of change in its volume is proportional to its surface…

A: Please see the below pictures for detailed solution.

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

A:

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

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: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius…

A: Solve the given

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 number of crimes that occurred in a certain city per 1000 people had decreased from 45.9 in 1920…

A: To determine the average rate of change in the number of crimes per 1000 people.

Q: 3) Draw the line segment whose slope represents the average rate of change from x = 0 to x = 3. Use…

A: As per bartleby guidelines we only give first question answers.

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

A: Given:- The rate of change of a certain substance is proportional to the amount of substance is 10…

Q: Suppose you bought a Honda Civic in 2005 for $23,000. In 2007, it was worth $18,000. Assume that the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Based of the graph, estimate the average rate of change from x=1 to x=4

A: Find the values of y at x=3 and x=1 which will be the values of f(3) and f(1) and then find the…

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

A:

Q: What is the rate of change of the balance with respect to the number of deposits? A. $100 per…

A: Here we have, The graph of the linear function shown on the grid.

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 side of a cube increases at the rate of 3 m/s, when side of the cube is 8m . Then the rate of…

A:

Q: Assume that the rate of change of air pressure with altitude (distance above the earth) is…

A: Topic:- Differential equation

Q: The concentration of a chemical agent in the bloodstream t hours after consumption is given by C(t)=…

A: Rate of change

Q: It started raining at 10:35 am, and by 11:45 am the barrel had 8 inches of water in it. What was the…

A: NOTE: Refresh your page if you can't see any equations. . x=time (in minutes) after 10:35 am y=water…

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: estimated using the total mass of the fetus by the function b = 0.22m0.87, where m is the mass of…

A:

Q: The radius of a sphere is increasing at a rate of 3 inches per minute. Find the rate of change of…

A: Given, drdt = 3 inchmindVdt = ?    when r = 10 inches.

Q: The average rate of change of the constant on the line at the points P(-1, 2) and Q(9, -13)…

A: Average rate of change can be calculated as follows:

Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

A:

Q: Suppose you bought a Honda Civic in 2005 for $23,000. In 2007, it was worth $18,000. Assume that the…

A: The equation for the value of the car is,

Q: The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of…

A:

Q: One airplane is approaching an airport from the north at 128 km/hr. A second airplane approaches…

A: Let x be the distance of south bound plane and y be the distance of west bound plane from airport at…

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

A:

Q: c) What happens to the pH level of a mouth as the time since eating the sugary food increases?

A: answer is in step 2

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

A: Given: A balloon is inflating at a constant rate of 9 cubic centimeters per second. when the volume…

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

A:

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

A:

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 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: The population of country doubles in 100 years. How many years will it be five times as much? Assume…

A: Denote T as the total population of the country, denote S as the initial population in the country…

Q: consider the equation f(x) =5x2 find the average rate of change between x=3 and x=3+x

A: Given: the equation f(x) =5x2 and find the average rate of change between x =3 and x =3+ x

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: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

A: The total surface area of a sphere is S=4πr2 The volume of a sphere is V=43πr3

Q: Find the unit rate(slope) in the graph.

A: We have to find the rate using the graph.

Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute while the…

A:

Q: The sides of a cube increase at a rate of K cm/s. When the sides have a length of 2 cm, the rate of…

A:

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: V= 43πr3 Here V is the volume and r is the radius.

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A:

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

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Q: An IV bag contains 1,000 mL dextrose in saline solution with a drop factor of 15 gtt/mL and has been…

A: Given: Total volume = 1,000 mL Drop factor = 15 gtt/ml Time = 4 hours To determine: Rate of flow in…

Q: The table gives the profit, P of a fast food chain, where P is in millions of dollars and t is in…

A: Given,

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

A:

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: