SOLUTION: The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for $1.36. Write the price P as a

Question 48594: The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for $1.36. Write the price P as a linear function of V. What should the price be for a 2 liter container?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for $1.36. Write the price P as a linear function of V. What should the price be for a 2 liter container?
---------------------------------------
Form points of the form (V,P).
(1.6, 1.36) and (1,1)
The form of the equation will be P=mV+b
Need to find m and b.
m=(1.36-1)/(1.6-1)= 0.36/0.6 =0.6
Then using the point (1,1) solve for "b", as follows:
1=0.6(1)+b
b=0.4
EQUATION:
P=0.6V+0.4
----------------
Price of a 2 liter container?
P(2)=0.6(2)+0.4
P(2)=1.2+0.4
Price = $1.60 for a 2 liter container.
Cheers,
Stan H.

RELATED QUESTIONS
Cassidy is selling popcorn for a fundraiser sale at the price shown. A photo of a... (answered by ankor@dixie-net.com)

A popcorn container shaped as a cone has a volume of 188.4in. If the height of the... (answered by Alan3354)

The density of gasoline is 720 grams per liter. There is 4.7 kg of gasoline in a full... (answered by Paul)

The amount of time t it takes a flame to go out in a closed container is a linear... (answered by srinivas.g)

a container measures 18cm by 22cm by 30cm. it is 1/2 filled with water. water from a jug... (answered by Theo)

A container filled up to 1/2 foot from its top. What is the volume of the sand in the... (answered by Alan3354,ikleyn)

The Volume Of A Cubic Container Is 7yds Cubed. How Many Cubes With Side Length Of 1 Ft In (answered by ewatrrr)

Question 1: A work word problem If Adam and Beth would paint the room together, they... (answered by ankor@dixie-net.com)

The amount of time it takes a flame to go out in a closed contanier is a linear function... (answered by jojo14344)