Our goal is to use function notation to represent the total fuel cost, in terms of the distance (in miles) of the trip. In doing so we first need to define a function, f, to determine the volume, v, of gasoline used in terms of the distance, d, of a trip. A. Represent v using function notation. B. Define a function f that determines the volume of gasoline used in terms of the distance, d, (in miles) of a trip. C. Define a function g that determines the fuel cost, c=g(v), in terms of the volume of gasoline used on the trip. d. Define a function g that determines the fuel cost, c=g(f(d)), in terms of the volume of gasoline, f(d) used on the trip.

Q: • Convert the Punction to lincar. function: a. 7. y=3x²

A: We have to find the linear function.

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The area(A) of a rectangle is calculated using the formula: A=l×w, where l is the length, w is the…

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Q: Tyler plans to purchase at least 2 pounds of chicken salad that costs $4.82 per pound.  Based on…

A: Please see the below answer for detailed solution.

Q: Assume the cost of a taxi is $2 per ride and $2.20 per mile. What function represents your total can…

A:

Q: A car purchased for $10,000 depreciates in value by 10% per year. The car's value over time is…

A:

Q: Determine both the domain and the range of the function.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A:

Q: Mike has created a function explaining the productivity of his company. He knows his employees…

A: GivenNumber of bicycle parts ready to be shipped=500Number of bicycle parts produced by the…

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: a.) 500x+3500y=0

A: The original supply is, x1=500. The new supply of study tables is,  x2=150+500=650. The initial…

Q: In a Miki Pansitan, a customer pays 20 pesos for an ordinary pansit and 10 pesos for any meat add on…

A: Given Price of an ordinary pansit =20 pesos  Rate of meat add on every order cost=10 pesos

Q: 6. Write the given function as ordered pairs -3 3224 -1 0 4 7

A:

Q: We are to take a piece of paper and fold it in half and record the number of regions it shows. So, I…

A: To find an equation to determine the number of regions, R, as a function of a number of folds.

Q: Give an example of a function you used in everyday life. Determine the domain and co- domain.…

A: We will find the required function.

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: A taxi company charges for rides according to the following. The cost for every ride starts at…

A:

Q: Write a formula for the function whose graph is represented below: 10- 4 16 8. 16 16 16 4 -10- -15

A:

Q: For each of the following relations: a. Is it a function? Explain. b. State the domain and range. i)…

A: Detail solution written below

Q: The material used to make the vehicle affects the vehicle's average speed as shown in the table.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.