College Enrollment The total fall enrollment in 4-yearpublic institutions is given by y = 0.014x + 2.290,where x is the number of years after 1990 and y ismillions of students. Is this a linear function? Why orwhy not? What is the independent variable?(Source: U.S. Department of Education, National Center forEducation Statistics)

Q: Marvin won a $200 gift certificate from a local car wash. Every time he gets a car wash, it costs…

A: Given:   Won = 200     Cost = 8.95

Q: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

A:

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A: NOTE: Refresh your page if you can't see any equations. . in 2005, the percentage was 40% in 2011,…

Q: large pond is filled with a garden hose at the rate of 15 gal per minute Initially the pond contains…

A: Here we need to find volume function with respect to time.

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A:

Q: Factory Utility Expenses The relationship between number of tables produced and utility expenses is:…

A: Here Given  Scatter graph of Factory utility expense and Number of tables produced

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A:

Q: Tuition Costs In 1990, the cost of tuition at a large Midwestern university was $97 per credit hour.…

A: The linear cost function comprises a constant and variable.

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A: Introduction: The response variable here is the net income, I, and the predictor variable is the…

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A:

Q: Bald eagle population After DDT was banned and the Endangered Species Act was passed in 1973, the…

A: Given: Bald eagle population After DDT was banned and the Endangered Species Act was passed in 1973,…

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A: This question is based on formation of straight line equation.

Q: Retirement For Pennsylvania state employees forwhom the average of the three best yearly salaries…

A: Annual pension P is 2.5% of 75,000 which is multiplied by the number of years of service.  Let the…

Q: The table lists data regarding the average salaries of several professional athletes in the years…

A: We can write the given data as coordinates (1991 , 258000 ) and (2001 , 1480000 )

Q: A local fruit company recently released a new flavor of applesauce. By the end of the first year,…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Write the linear equation of the line using two point form then calculate the third point according…

Q: . National Health Care The table shows the nationalexpenditures for health care, in billions, in the…

A: Given that

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A: Given that,  Let Number of tickets sold = x Amount of band will be paid = y For 30 tickets:…

Q: *A $100,000 life insurance policy for males aged 25 costs $9.75. For males aged 35, the policy costs…

A:

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: Given query is to find the monthly of cost 96 min of calling.

Q: Example 1: Jennifer rents a bicycle for her hiking trip. The rental shop charges her an initial fee…

A: topic - linear function

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A:

Q: In macroeconomic theory, total consumption expenditure on goods and services, C, is assumed to be a…

A:

Q: Does the table represent a linear or nonlinear function? x0 1 2 3 y 4 8 12 16 The table represents a…

A:

Q: The relationship between hourly wage (w) and the number of years of experience (y) at a particular…

A: Linear equation

Q: 2004, in-state tuition at Purdue was $6,092. In 2013, in-state tuition was $9,992. If the cost of…

A:

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: We can write two Equations. And help of the equations, We find monthly cost. Let "x" be cost of 1…

Q: Millage rate is the amount per $1000 that is often used to calculate property tax. For example, a…

A: (a) The fixed tax is $ 172 and the variable tax is 0.019x.

Q: ple represents a linear function. X. -2 -2 -1 1 0. 4 7 1. 2 10

A:

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A:

Q: Entomologists are biological scientists who study insects. Entomologists studying tree crickets have…

A: It is given that cricket do not chirp at all below 39 degree and at 59 degree they chirp about 90…

Q: Revenue The sum of the 2016 revenue and twicethe 2013 revenue for Mama Joan’s International,Inc., is…

A: Given: The sum of the 2016 revenue and twice the 2013 revenue is $2144.9 million. The difference…

Q: The price of a new item is $800. After 4 years, the price increased to $1200. Assume the price…

A:

Q: consider this scenario: the number of people afflicted with the common cold C in the winter months…

A: The number of people afflicted with the common cold C in the winter months steadily decreased by 218…

Q: A savings account balance can be modeled by the graph of the linear function snown on th gnd.…

A: Given graph we have to find rate of change of the balance with respect to the number of deposits.

Q: A fitness instructor is interested in studying decrease in weight as a function of the number of…

A:

Q: The resale value of a sports car declines as the number of miles driven increases. Data from a…

A: answer is in next step

Q: Demand for Soft Drinks A convenience store manager notices that sales of soft drinks are higher on…

A: given the data:

Q: A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed…

A: Given, Fixed rent of mid size car = $ 40  Variable rent of mid size car = $ 45  per day  We have to…

Q: *A $100,000 life insurance policy for males aged 25 costs $7.80. For males aged 41, the policy costs…

A:

Q: The table below gives data from a linear function. Complete parts (a) and (b) below. (a) Fill in the…

A: (a) To complete the table: Price per bottle, x(dollar) Number of sold bottles y(sys) 0 48 0.2…

Q: The Rockastic Sports Bar has just opened in the newly rebuilt Wingbolt Casino & Resort. As part…

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Q: The table shows the population growth of mice over five years in a laboratory Decide whether the…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Slope of  a line is constant all the way along it. So slope of a line can be calculated using any…

Q: family

A: Please refer to the image below

Q: Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value…

A: This question is related to linear function, we will solve it using given information.

Q: A book club has a membership fee of $25. Each book purchased costs $3. Find a rule for the linear…

A: Suppose x books are taken then find the linear function.

Q: *A $100,000 life insurance policy for males aged 41 costs $11.80. For males aged 46, the policy…

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.