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Answer:
a. 300 ≤ m ≤ 350
b. 18,000 ≤ p ≤ 21000
c. no
Explanation:
a. If we let m represent the monthly payment, the absolute value equation is ...
|m -325| ≤ 25
-25 ≤ m -325 ≤ 25 . . . . rewrite as a compound inequality
300 ≤ m ≤ 350 . . . . . . . add 325
The range of affordable payments is $300 to $350 per month.
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b. If financing is for 5 years, that's a total of 5×12 = 60 monthly payments. For a car price of p, the monthly payment is p/60, so the above inequality becomes ...
300 ≤ p/60 ≤ 350
Multiplying by 60 gives the range of affordable car prices:
18000 ≤ p ≤ 21000
An affordable car will have a price between $18,000 and $21,000 (inclusive).
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c. If the 0% offer is extended to 6 years, the maximum affordable car price can be 6/5 of the upper limit of the range just found:
6/5×$21,000 = $25,200
This is still less than the price of the car you want.
You cannot afford to buy the car you want.