Ask Question
29 December, 11:05

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The price of car A is $131,745. a. Assuming that you do not know which model is more expensive, write an absolute value in equality that describes this situation. Use x for the cost of car B. b. What are the possibilities for the price of car B?

+3
Answers (1)
  1. 29 December, 13:05
    0
    Step-by-step explanation:

    Part a:

    Price of car A = $131,745 and price of car B is unknown = x

    There are two possible cases: 1) Car A is the more expensive car, and 2) car B is the more expensive one. We start by analyzing both cases separately:

    Case 1) If car A is the more expensive car, we could write the difference in prices in mathematical form, using the "larger than" symbol: ">"

    $131,745 - x > $15,000 that reads : "the price of car A ($131,745) minus the price of car B (x) is MORE THAN (>) $15,000

    Case 2) Car B is more expensive than A, so we can write:

    x - $131,745 > $15,000 that reads: "the price of car B (x) minus the price of car A ($131,745) is MORE THAN (>) $15,000

    Both inequalities that we wrote above can be condense in a single inequality if we use the "absolute value" mathematical symbol thus expressing that the difference between both prices in absolute value must be larger than $15,000:

    | $131,745 - x | > $15,000

    Part b) We can solve for x in the first inequality we wrote:

    $131,745 - $15,000 > x therefore x < $116,745

    and also we can solve for x in the second inequality given us the second possibility:

    x - $131,745 > $15,000 therefore x > $146,745
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The price of car ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers