Question
Garrett and Judy Kay are considering buying a new fridge to replace their older one. They estimate that their current (older) fridge, which they got
Garrett and Judy Kay are considering buying a new fridge to replace their older one.
They estimate that their current (older) fridge, which they got for free, costs them about $16 a month in electricity charges to operate. They found a new fridge that costs $1,010 to purchase and would cost only around $6 a month in electricity charges.
The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.
If they keep their old fridge, then they assume they will need to pay around $150 sometime over the next 10 years in maintenance costs to keep it running.
(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)
Letxrepresent the number ofmonths. Letyrepresenttotal costin dollars.
Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.
Create functions that describe the total cost in dollars for each fridge.
NewFridge Total Cost Function
y= ? x+ ?
OldFridge Total Cost Function
y= ? x+ ?
Use your functions to calculate the total cost for each fridge after6 months.
New Fridge: ?
(Round to the nearest whole dollar)
Old Fridge: ?
(Round to the nearest whole dollar)
Use your functions to calculate the total cost for each fridge after10 years. (hint: your function is set for months so you will have to convert years to months)
New Fridge: ?
(Round to the nearest whole dollar)
Old Fridge: ?
(Round to the nearest whole dollar)
At how manymonthsis the total cost for each fridge the same?
?
(Round to one decimal place)
How manyyearsis this?
?
(Round to one decimal place)
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