The function D (N) = 4.5+0.11n gives the average consumer debt, in thousands of dollars, where n represents the number of years since 2016. Write a sentence interpreting the slope in terms of the real situation.

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Mathematics

6 February, 01:39

The function D (N) = 4.5+0.11n gives the average consumer debt, in thousands of dollars, where n represents the number of years since 2016. Write a sentence interpreting the slope in terms of the real situation.

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Zavier Decker · Answer 1

In the year 2017, n = 1 and D (1) = 4.5 + 0.11 (1) = 4.61

In the year 2018, n = 2 and D (2) = 4.5 + 0.11 (2) = 4.72

In the year 2019, n = 3 and D (3) = 4.5 + 0.11 (3) = 4.83

The slope of D (n) = 4.5 + 0.11n is 0.11 and it determines the gradual increase in the average consumer debt every year.