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

question 49

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 \(\$ 2475\).

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