SOLUTION: Create a real-world scenario that is modelled by a linear relationship that:  Is partial variation  Has a negative rate of change Create the word problem, determine the eq

Algebra ->  Linear-equations -> SOLUTION: Create a real-world scenario that is modelled by a linear relationship that:  Is partial variation  Has a negative rate of change Create the word problem, determine the eq      Log On


   



Question 1151266: Create a real-world scenario that is modelled by a linear relationship that:
 Is partial variation
 Has a negative rate of change
Create the word problem, determine the equation of the line and graph the linear relation.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first recall:
Partial+variation+is a relationship between two variables in which the dependent variable is the sum of a constant (NOT ZERO) and a constant multiple of the independent variable.
y+=+mx+%2B+b where b is the initial value of y or y- intercept, and+m is a slope- the constant of variation (what y increases by when x increases by 1)
example:

A student is eating an ice cream cone at the park that is 12.7cm tall. It is extremely hot outside and the ice cream starts to melt at a constant rate of 2%28cm%2Fmin%29. If the student didn’t eat any of the ice cream and it started to melt, how much would be left after 3 minutes?
1st: Identify the slope and y- intercept
ice cream is melting 2%28cm%2Fmin%29, so +m=-2(slope is negative because it is decreasing in size)
b=12.7
2nd: Plug into slope intercept form:

y=-2x%2B12.7
3rd: Plug in 3 for x since we want to know how tall it will be after 3 minutes
y=-2%2A3%2B12.7

4th: Solve
y=-2%2A3%2B12.7+
y=-6%2B12.7+
y=6.7+ cm
Understand that after 3 minutes of melting the ice cream cone will now measure 6.7cm.