![]() Lynn found that it costs her $460 to drive 360 mi and in June it cost her $580 to drive 840 mi. The monthly cost of driving a car depends on the number of miles driven. (e) A linear function is suitable because the monthly cost increases as the number of miles driven increases (c) It represents the cost in dollars per mile Lynn found that it costs her $345 to drive 300 mi and in June it cost her $475 to drive 820 mi. Below the surface, the water pressure increases by 4.34lb/in^2 for every 10 ft of descent. At the surface of the ocean, the water pressure is the same of the air pressure above the water, 15lb/in^2. The manager of a furniture factor finds that it costs $2000 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day.Ĩ. The manager of a furniture factor finds that it costs $2200 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day. The manager of a furniture factor finds that it costs $2200 to manufacture 70 chairs in one day and $4800 to produce 270 chairs in one day. A cricket produces 113 chirps per minute at 70 ° F and 153 chirps per minute at 80 ☏ħ. A cricket produces 113 chirps per minute at 70 ° F and 183 chirps per minute at 80 ☏īiologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. Biologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. ![]() (c) Express the distance d traveled in terms of the time(in hours) elapsed.Ħ. He passes Ann Arbor, 40 mi from Detroit at 9:48 PM. Jason leaves Detroit at 9:00 PM and drives at a constant speed west along I-96. (b) Express the distance d traveled in terms of the time(in hours) elapsed. He passes Ann Arbor, 40 mi from Detroit at 9:40 PM. What does it represent? The slope represents the car’s speed in miles per hour. (a) Express the distance d traveled in terms of the time(in hours) elapsed. He passes Ann Arbor, 40 mi from Detroit at 8:40 PM. Jason leaves Detroit at 8:00 PM and drives at a constant speed west along I-96. The relationship between (f) and Celsius (c) temperature scales is given by the linear function F = 9C/5 + 32.ĥ. (b) Use the equation to predict the average global surface temperature In 2010.Ĥ. (b) Use the equation to predict the average global surface temperature In 2080. The T-intercept is 8.75, which represents the average surface temperature in the year 1900. ![]() The slope is 0.01 which means that the average surface area temperature of the planet is increasing at a rate of 0.01 degree Celsius per year. They have modeled the temperature by the linear function T = 0.01t + 8.75, where T is temperature in Celsius and t represents years since 1900. Some scientists believe that the average surface temperature of the world has been rising steadily. (b) Use the equation to predict the average global surface temperature In 2030. The T-intercept is 8.55, which represents the average surface temperature in the year 1900. (a)What do the slope an T-intercept represent They have modeled the temperature by the linear function T = 0.01t + 8.55, where T is temperature in Celsius and t represents years since 1900. ![]() Find an expression for a cubic function f if f(3) = 24 and f(-1) = f(0) = f(4) = 0įind an expression for a cubic function f if f(3) = 72 and f(-1) = f(0) = f(4) = 0įind an expression for a cubic function f if f(1) = 8 and f(-1) = f(0) = f(2) = 0ģ. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 10t -1.86t^2.2. If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f’(4).ġ0. (Enter your answer as an equation in terms of y and x.)Ĩ. Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g’’(6) = 2. Find the velocity times t = a, t = 1, t = 2, and t = 3.ħ. The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 6/t^2, where t is measured in seconds. If a ball is thrown into the air with a velocity of 33 ft/s, its height (in feet) after 6 seconds is given by y = 33t – 16t^2. Find the equation of the tangent line to the curve at the given point.Ĥ.Find the slope m of the tangent to the curve y = 6 + 4x^2 -2x^3 at the point where x = a.ĥ. ![]()
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