Respuesta :
Answer:
The required expression is [tex]y=250,000-24,000 t[/tex]
Step-by-step explanation:
Consider the provided information.
National Textile installed a new textile machine in one of its factories at a cost of $250,000.
That means for 0 year the cost of the machine is $250,000.
This can be written as: (0, 250,000)
Over 10 years with a scrap value of $10,000
That means for 10 year the cost of the machine is $10,000.
This can be written as: (10, 10,000)
Now first find the rate of change:
Rate of change=m=[tex]\frac{Rise}{Run}=\frac{10,000-250,000}{10-0}[/tex]
Rate of change=m=[tex]\frac{Rise}{Run}=\frac{-240,000}{10}[/tex]
Rate of change=m=[tex]\frac{Rise}{Run}=-24,000[/tex]
Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.
[tex](y-250,000)=-24,000(t-0)[/tex]
[tex]y-250,000=-24,000 t[/tex]
[tex]y=250,000-24,000 t[/tex]
Hence, the required expression is [tex]y=250,000-24,000 t[/tex]
