Question

A geographer found that the land area of Aruba is 75 square miles and the land area of Bermuda is 19 square miles. Based on these data, the geographer used the equation 75x+ 1 9y = T to estimate the total number ofresidents, T, oft he two islands. Which is the best interpretation of x in this context?

Answer 1

The interpretation of x in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba

Which method can be used to find the interpretation of x in the equation?

The land area of Aruba = 75 m²

Land area of Bermuda = 19 m²

The total number of residents is given in the question by the equation;

75•x + 19•y = T

Therefore;

x = The number of people in a square mile in Aruba

y = The number of people in a square mile in Bermuda

Which gives;

• The interpretation of the variable, x in the context is the population of Aruba per square mile.

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