MTV regularly has offers from companies for “Product Placement” in their reality shows. Companies will pay MTV, and you, to if their products appear in the show. Coca Cola, Pepsi and Snapple have both agreed to pay participants if their products appear on the show, but participants must choose only one deal. The amount depends on the length of your trip. Use the information to find an equation (y=mx+b) for the amount of Sponsorship Money (y) you can make for each day of the trip. Show your work and explain your steps below. Coca Cola Pepsi Snapple 5 Days $143 10 Days $168 9 Days $39 10 Days $187 20 Days $269 19 Days $219 15 Days $209 20 Days $242 Coca Cola: ___________________ Pepsi: ___________________ Snapple: ___________________ Demonstrate how you know the equations work by checking your answer

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Application for the ILLEST ROAD TRIP OF ALL TIME©

CLA 1 and 2, MAT 135 College Algebra

Part V. Sponsorship
MTV regularly has offers from companies for “Product Placement” in their reality shows. Companies will
pay MTV, and you, to if their products appear in the show. Coca Cola, Pepsi and Snapple have both
agreed to pay participants if their products appear on the show, but participants must choose only one
deal. The amount depends on the length of your trip.
Use the information to find an equation (y=mx+b) for the amount of Sponsorship Money (y) you can
make for each day of the trip. Show your work and explain your steps below.

Coca Cola Pepsi Snapple
5 Days $143 10 Days $168 9 Days $39
10 Days $187 20 Days $269 19 Days $219
15 Days $209
20 Days $242

Coca Cola: ___________________ Pepsi: ___________________ Snapple: ___________________
Demonstrate how you know the equations work by checking your answer

Explain in your own words how you found the equation for Coca Cola and Pepsi

Part IV. Comparing Plans
Use your equations from Part III to find out how much you will make with each plan for 1, 2, 3, and 4
weeks.
Days Coca Cola
Y = _____________________

Pepsi

Y = ______________________

Snapple

Y = ______________________

7 days
14
days
21
days
28
days
On what day would Pepsi and Coca Cola pay the same amount?
Solve the system of equations and show your work.

On what day would Coca Cola and Snapple pay the same amount?
Solve the system of equations and show your work.

On what day would Pepsi and Snapple pay the same amount?
Solve the system of equations and show your work.

Use the chart below to graph all three equations for Pepsi, Snapple and Coca Cola.
Where on the graph does it show the best company to choose?

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