On a graph where the y-axis and x-axis jump from 1 to 10 to 100, with approximately equal space between 1-10 and 10-100. Which of the following is/are reasonable interpretations of this graph?

a. the variables on the axes are shown using a logarithmic scale

b. large increases in island area have relatively small effects on species numbers

c. the difference in the number of species on islands measuring 1 square mile, contrasted with islands measuring 100 square miles IS THE SAME as the difference in number of species on islands measuring 10 square miles, contrasted with islands measuring 100 square miles

d. all of these options are valid interpretations of this graph

Question

Mathematics

Aspen Mccarthy

15 July, 19:15

On a graph where the y-axis and x-axis jump from 1 to 10 to 100, with approximately equal space between 1-10 and 10-100. Which of the following is/are reasonable interpretations of this graph?

a. the variables on the axes are shown using a logarithmic scale

b. large increases in island area have relatively small effects on species numbers

c. the difference in the number of species on islands measuring 1 square mile, contrasted with islands measuring 100 square miles IS THE SAME as the difference in number of species on islands measuring 10 square miles, contrasted with islands measuring 100 square miles

d. all of these options are valid interpretations of this graph

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Answers (1)

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Frankie Fernandez · Answer 1

d-all of these options are valid interpretations of this graph

Step-by-step explanation:

Logarithmic scales are not linear, and they are used for large range of possitive numbers. The value represented by each equidistant mark on the scale is the value at the previous mark multiplied by a constant, in this case 10.

So, in large islands, large incresaes have a small effect (the distance is the same from islands thas has 100 to 90 square miles, than for 2 islands measuring 10 to 9).