Solve the Problem $\mathrm { f } _ { 1 } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 100 \mathrm { x } ; \mathrm { f } _ { 2 } ( \mathrm { x } ) = 85 \mathrm { x }$

Multiple Choice

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


Make a scatterplot of the data. Then graph the following two functions on the same coordinate system: $\mathrm { f } _ { 1 } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 100 \mathrm { x } ; \mathrm { f } _ { 2 } ( \mathrm { x } ) = 85 \mathrm { x }$ . Decide which function best models the data, and then use that function to estimate the profit associated with making 45 cases of donuts.

A) $\mathrm { f } _ { 2 }$ ; profit for 45 cases is $\$ 4500$ .
B) $\mathrm { f } _ { 2 }$ ; profit for 45 cases is $\$ 3825$ .
C) $\mathrm { f } _ { 1 }$ ; profit for 45 cases is $\$ 3675$ .
D) $\mathrm { f } _ { 1 }$ ; profit for 45 cases is $\$ 2475$ .