SOLUTION: A 10-ounce soft drink sells for 50 cents, and a 16-ounce
soft drink sells for 68 cents. The price P is determined
from the volume v of the cup by a linear equation.
a) Find the
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Question 211383: A 10-ounce soft drink sells for 50 cents, and a 16-ounce
soft drink sells for 68 cents. The price P is determined
from the volume v of the cup by a linear equation.
a) Find the equation.
b) Find the price of a 20-ounce soft drink.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A 10-ounce soft drink sells for 50 cents, and a 16-ounce
soft drink sells for 68 cents. The price P is determined
from the volume v of the cup by a linear equation.
:
a) Find the equation.
:
Find the slope using the point/slope formula: y-y1 = m(x - x1)
Assign the given values as follows
y = 68; x =16
y1= 50; x1=10
:
Use these values in the point/slope formula
68 - 50 = m(16 - 10)
18 = 6m
m =
m = 3 is the slope
the equation
y - 50 = 3(x - 10)
y - 50 = 3x - 30
y = 3x - 30 + 50
y = 3x + 20
which is
P = 3v + 20
:
:
b) Find the price of a 20-ounce soft drink.
:
P = 3(20) + 20
P = 60 + 20
P = 80 cent for 20 oz
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