The function M(x) = 5x² - 160x+6179 models the number of miles, in
millions, that U.S. passengers traveled on a train for the period 1970 to
2000, where x is the number of years since 1970.
a. Find M(10). Show your work for partial credit.
b. Interpret M(10) for the given context.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

M(x) = 5x² - 160x+6179

a) M(10)

put x = 10 in given function

M(10) =5(10)² - 160*10+6179

=5*100 - 1600 + 6179

=500 - 1600

=5079

b) The interpretation is the number of passengers that travelled in 10 years is 5079

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The function M(x) = 5x² - 160x+6179 models the number of miles, in millions, that U.S. passengers traveled on a train for the period 1970 to 2000, where x is the number of years since 1970. a. Find M(10). Show your work for partial credit. b. Interpret M(10) for the given context.

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what is function?

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The function M(x) = 5x² - 160x+6179 models the number of miles, in
millions, that U.S. passengers traveled on a train for the period 1970 to
2000, where x is the number of years since 1970.
a. Find M(10). Show your work for partial credit.
b. Interpret M(10) for the given context.