cide whether the following statement makes sense (or is clearty true) or does not make sense (or in dearly falsn). Explain your reasoningMy freeway speed is the rate of change in my distance with respect to time.Choose the correct answer below.OA. The statement does not make sense because the slope of a linear function is the change in the independent variable divided by the change in the dependent vartableO B. The statement makes sense because the slope of a linear function is the change in the depondent variable divided by the change in the independent variableOC. The statement makes sense because the slope of a linear function is the change in the independent variable divided by the change in the dependent variableOD. The statement does not make sense because the slope of a linear function is the change in the dependent variable divided by the change in the independent variable.O Time Remaining

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Answered: cide whether the following statement…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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d. Explain why this relationship describes y as a function of x. Choose the correct answer below. A. Each input gives more than one output. B. Each input gives exactly one output. C. Each input gives exactly two outputs.
A car is traveling down a long, steep hill. The elevation, E, above sea level (in feet) of the car when it is d miles from the top of the hill is given by E=6250-125d, where d can be any number from 0 to 50. Find the slope and y-intercept of the graph of this function and explain what they mean in the context of the moving car. Edit View Insert Format Tools Table 12pt v Paragraph v O words
H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales? G. What is the value of the coefficient of determination, R2? What does R2 tell us about explained variation in y? (Refer to Coefficient of Determination LO 12-4). H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales?
Crude Oil The U.S. crude oil production, in billionsof barrels, was 1.94 in the year 2010 and is projectedto be 2.26 in 2030.a. Find the projected average rate of change inproduction from 2010 through 2030.b. Use the rate of change from part (a) and the pointcorresponding to 2010 to write the equation of theline that joins the points (2010, 1.94) and (2030,2.26), with x equal to the year 2010 and y equal tothe number of billions of barrels of crude oil.(Source: U.S. Energy Information Administration)
You will need to rent a computer and the cost will be $30 down and $15 a day. You sign a contract and you must pay the $30 down whether you rent the computer or not. Is this a linear function? Explain. What is the rate of change? What is the practical meaning (in context of the problem) of the rate of change? What is the vertical intercept? What is the practical meaning of the vertical intercept? Write the equation using function notation. What is the practical domain of the function? What is the practical range of the function?
You begin mowing lawns for extra money you plan to charge $7 for each lawn. You spend $40 on gas and other supplies. Model the profit. a. make a data table b. graph the data c. find the slope d. find the rate of change e. p-s model and s-i form f. speculate the meaning of the y-int.
The profit earned by selling soap at a craft show can be modeled by the graph of the linear function shown on the grid below. What is the rate of change of the profit earned with respect to the number of bars of soap sold?
Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1 mile decreases by 32 steps per 1 inch increase in height. Suppose a person 72 inches tall makes 2,250 steps per mile. Find a linear model of the number of steps S per mile as a function of height h (in inches). S = Use the model to predict the number of steps per mile a person who is 64 inches tall will take. steps per mile

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