Solve the Problem $\mathrm { f } _ { 1 } ( \mathrm { x } ) = { } ^ { 4 }$

Solve the problem.
-The following information pertains to a bakery which makes donuts.


Make a scatterplot of the data. Then graph the following four functions on the same coordinate system: $\mathrm { f } _ { 1 } ( \mathrm { x } ) = { } ^ { 4 }$ $\mathrm { f } _ { 2 } ( \mathrm { x } ) = 85 \mathrm { x } ; \mathrm { f } _ { 3 } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 100 \mathrm { x } ; \mathrm { f } _ { 4 } ( \mathrm { x } ) = 40 \mathrm { x } + 1000$ . Which function best models the profit for $x$ cases of donuts?

A) $\mathrm { f } _ { 4 }$
B) $\mathrm { f } _ { 1 }$
C) $\mathrm { f } _ { 2 }$
D) $\mathrm { f } _ { 3 }$