c(t) = 7,000 + 500 ln(t + 1)\nthe mason family also started their wheat farm in 1995. the graph models the…

c(t) = 7,000 + 500 ln(t + 1)\nthe mason family also started their wheat farm in 1995. the graph models the number of bushels of wheat they produced each year, where t is the number of years since 1995.\nwhich statement is true about the quantity of wheat the two farms will produce as the years pass?\na. the wheat production of both farms will approach a stable amount as the years pass.\nb. the cohen farms wheat production will continue to increase each year without bound, while the mason farms wheat production will approach a stable amount.\nc. the wheat production of both farms will continue to increase each year without bound.\nd. the mason farms wheat production will continue to increase each year without bound, while the cohen farms wheat production will approach a stable amount.

c(t) = 7,000 + 500 ln(t + 1)\nthe mason family also started their wheat farm in 1995. the graph models the number of bushels of wheat they produced each year, where t is the number of years since 1995.\nwhich statement is true about the quantity of wheat the two farms will produce as the years pass?\na. the wheat production of both farms will approach a stable amount as the years pass.\nb. the cohen farms wheat production will continue to increase each year without bound, while the mason farms wheat production will approach a stable amount.\nc. the wheat production of both farms will continue to increase each year without bound.\nd. the mason farms wheat production will continue to increase each year without bound, while the cohen farms wheat production will approach a stable amount.

Answer

Explanation:

Step1: Analyze Cohen farm's function

The function for Cohen farm is $C(t)=7000 + 500\ln(t + 1)$. The natural - logarithm function $\ln(x)$ is an increasing function. As $t\to\infty$, $\ln(t + 1)\to\infty$, so $C(t)\to\infty$.

Step2: Analyze Mason farm's graph

From the graph of $M(t)$ for Mason farm, we can see that as $t$ (number of years since 1995) increases, the function value levels off. This means that the production of the Mason farm approaches a stable amount as $t$ gets large.

Answer:

B. The Cohen farm's wheat production will continue to increase each year without bound, while the Mason farm's wheat production will approach a stable amount.