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

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Q: The population of a city increased from 21,600 to 32,000 between 2007 and 2015. Find the change of…

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A: We have to find a linear model of the number of steps S per mile as a function of height h.

Q: An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a…

A: Given that  An HVAC technician charges a flat fee of $99 and an additional $50 per hours. To Express…

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.