Question

The formula below models the number of calories consumed daily by a person owning x acres of land in a developing country. Estimate the number of acres owned for which average intake is 2200 calories per day. C(x) = 270 In (x + 1) + 1920 For an average intake of 2200 calories per day, the number of acres of land owned is approximately (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)

Answer 1

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Given that, c(x) = .270 kn (2+1) + 1920 Now then 280 when C(x) = 2200 we have, 270 Pon(x+1) +1920 = 2200 » 270 lm (x+1) E 2200-1920 => 270 kn (241) >> fon(oe1) 280 270 28/27 --> X+! se 28/27 > x=e >> x 11.9 (rounded to neapest tenta)

So for an average intake of 2200 calories per day, the number of acres of land owned is approximately 1.8