PLEASE HELP! I DONT UNDERSTAND! 50 POINTS! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diese
l fuel from Miami, FL to Atlanta, GA. FedEx makes a graph to represent the miles per gallon the truck uses.
Sketch a graph (Use axis for miles, and another axis for gallons) Label intercepts
what is your domain? explain
what does the origin of this graph represent in this situation? explain
PLEASE ANSWER AND EXPLAIN! I DONT UNDERSTAND THIS
Sketch a graph (Use axis for miles, and another axis for gallons) Label intercepts
what is your domain? explain
what does the origin of this graph represent in this situation? explain
PLEASE ANSWER AND EXPLAIN! I DONT UNDERSTAND THIS
2 answers:
Graph should represent "miles per gallon" that means the y axis are miles driven with x axis gallons used.
See image attached.
The fuel usage is approximately linear so the graph is a line. The origin of the graph (0,0) corresponds to the starting point in MIami, FL, where 0 gallon have been spent and 0 miles driven. the endpoint corresponds to Atlanta, GA, where 90 gallons have been spent and 660 miles driven. The domain is real numbers in the interval [0,90]. The x intercept is 0, the y intercept is also 0. The range is real numbers in the interval [0,660].
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9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
