The formula below models the number of calories consumed dai

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 2300 calories per day. C(x) = 270 ln (x+1) +1940 For an average intake of 2300 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.)

Solution

C(x) = 270 ln (x+1) +1940 is the equation given.

Here, C(x) is average intake of calories per day which is 2300 given.

Putting this value in the equation given, we get:

2300 = 270 ln (x+1) +1940

ln (x+1) = 360/270

ln (x+1) = 1.33

x+1 = 3.794

x = 2.794

Therefore, for an average intake of 2300 calories per day, the number of acers of land is approximately 2.79 acres.