Assume a car uses gas at a constant rate. After driving 25 miles since a full tank of gas was purchased, there was 9 gallons of gas left; after driving 70 miles since a full tank of gas was purchased, there was 7.2 gallons of gas left. Use a function to model the amount of gas in the tank (in gallons). Let the independent variable be the number of miles driven since a full tank of gas was purchased. Find this function’s domain and range in this context.

Q: An assignment is worth 200200 points. For each day the assignment is late, the professor deducts 55…

A:

Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…

A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

Q: If 150 bags are demanded per month when the price is $75 per bag and the amount demanded fell to 100…

A: Equation of a line passing through the point (a,b) and (c,d) is given by: y-d=m(x-c)    OR…

Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: Give your own example of a real-life application of function. Identify the dependent and independent…

A: A function is a process or a relation that associates each element x of a set X, the domain of the…

Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

A: From the given problem Dimensions are 3feet×4feet×5feet.   So the volume of the bulk food storage…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: A Zumba instructor charges according to the number of participants. If there are 15 participants or…

A: Given- A Zumba instructor charges according to the number of participants. For 15 participants or…

Q: A car manufacturer offers a $2000 rebate, but the buyer must pay the 7% sales tax on the full price…

A: Given that  Rebate = 2000  Sales tax = 7%

Q: An electric board determines its monthly bills for residential customers by charging a base price of…

A: An electric board charging a base price of $16.00 plus an energy charge of 12.12 cents for each…

Q: Is the function y = -4x + 2 linear or nonlinear? a Linear Nonlinear

A: To determine :- If y = -4x + 2 is linear or non-linear.

Q: By the end of February, Rachel's family had used 7,800 kilowatt hours (kWh) of electricity since…

A: linear equation  y=mx+bb = y intercept or initial value    By the end of February, Rachel's family…

Q: A certain chocolates bar costs 35.00 per piece.however,if you buy more than 10 pieces,they will…

A:

Q: From your everyday experiences, identify several pairs of variables that appear to be related and…

A: Dependent variable Independent variable 1  Weight of a person Height of a person 2 Electricity…

Q: A packaging company will only accept packages for shipment if the sum of its height and perimeter of…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.