Solve the Problem $f _ { 1 } ( x ) =$

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: $f _ { 1 } ( x ) =$ ? $f _ { 2 } ( x ) = 40 x + 1000 ; f _ { 3 } ( x ) = - x ^ { 2 } + 100 x ; f _ { 4 } ( x ) = - x ^ { 2 } + 80 x + 200$ . Which function best models the profit for $x$ cases of donuts?

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