Assignment, pencil, red pen, highlighter, calculator

The Key Ring Store has figured out that if they sell zero “Mr. T. In Your Pocket” key chains, then they make no profit. Likewise, if they make 200 key chains, they make no profit. They also figured out that their maximum profit would be $500. Their situation can be modeled by the graph of a parabola.

a) Make and label a graph modeling profit vs. production.

b) Write an equation that models their situation.

c) How much profit will 40 key chains produce?

total:12

2000

$500

100

(100, 500)

profit

$

# of key chains

y = a(x – h)2 + ky = a(x – 100)2 + 500

–500 –500–500 = 10000a

10000 10000

0 = a(0 – 100)2 + 5000 = a(–100)2 + 500 0 = 10000a + 500

500100x20

1y 2

10000500a

20

1

a) Make and label a graph modeling profit vs. production.

b) Write an equation that models their situation.

c) How much profit will 40 key chains produce?

5001004020

1y 2

5006020

1y 2

500180y

$320y

+1 x–axis

total:12

+1 y–axis

+1 parabola+1

+1

+1 +1 +1 +1

+1

+2

y

x0

Get together with some classmates and complete the

STT.

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