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The linear equation
y=0.15x+0.79
represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.a. What year would be represented by x = 4? 2006
b. What x-value represents the year 2018?
c. What is the slope, or rate of change, of this equation?
d. What is the y-intercept?
e. What does the y-intercept represent?
f. Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?
how to solve two equations mentioned below to get
find the height of the object after 3 seconds after it is thrown upward. and find the maximum height of the object and the time it takes the object to reach this height.
Is the following system consistent or inconsistent?
what is the slope of the line perpendicular to 2x=4478
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
The base of an aquarium with volume V = 325 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculator after 5 years.
A diagnostic test is a procedure which gives a quick, but not always reliable, indication of whether a patient has a certain disease. Test results are said to be "positive" if, after testing, the person is thought to have the disease and "negative..
Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in a 24 hour period.
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
Find the slope of this curve where it meets the right pole.
Find the logistic function f with the given properties f(0) = 14, f has limiting value 140, and for small values of x , f is approximately exponential and doubles with every increase of 1 in x.
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