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Supply and Demand The demand and supply equations for a cordless screwdriver are given by
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Chapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
- Measurement Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters y to gallons x. Then use the model to find the numbers of liters in 5 gallons and 25 gallons.arrow_forwardTravel Time You are driving on a Canadian freeway to a town that is 500 kilometers from your home. After 30 minutes, you pass a freeway exit that you know is 50 kilometers from your home. Assuming that you continue at the same constant speed, how long does the entire trip take?arrow_forwardGas Mileage The distance d, in miles, that you can travel without stopping for gas depends on the number of gallons g of gasoline in your tank and the gas mileage m, in miles per gallon, that your car gets. The relationship is d=gm. 2.5 a. How far can you drive if you have 12 gallons of gas in your tank and your car gets 24 miles per gallon? b. Solve Equation 2.5 for m. i. Explain in everyday terms what this new equation means. ii. Use this equation to determine the gas mileage of your car if you can drive 335 miles on a full 13-gallon tank of gas. c. A Detroit engineer wants to be sure that the car she is designing can go 425 miles on a full tank of gas, and she must design a gas tank to ensure that. She does not yet know what gas mileage this new-model car will get, and so she decides to make a graph of the size of the gas tank as a function of gas mileage. i. Solve Equation 2.5 for g using 425 for the distance. ii. Make the graph that the engineer made. Is it a straight line?arrow_forward
- Work The work W required to lift an object varies jointly with the object’s mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 100-kilogram object 1.5 meters.arrow_forwardMaximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model P=230+20x0.5x2. What expenditure for advertising yields a maximum profit?arrow_forward
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