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liraira [26]
3 years ago
8

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 p

rice 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?
Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

Part a) \left|x-131,745\right|=15,000

Part b) The possibilities for the price of car B are more of $146,745 or less than $116,745

Step-by-step explanation:

Part a) write an absolute value in equality that describes this situation. Use x for the cost of car B

Let

x -----> the cost of car B

we know that

The difference between the price of car B and car A in absolute value or the difference between the price of car A and car B in absolute value must be equal to 15,000

so

The absolute value in equality will be

\left|x-131,745\right|=15,000

Part b) What are the possibilities for the price of car B?

Solve the absolute value

\left|x-131,745\right|=15,000

we know that

The absolute value have two solutions

<em>First case</em> (positive)

+(x-131,745)=15,000

Adds 131,745 both sides

x=15,000+131,745

x=\$146,745

<em>Second case</em> (negative)

-(x-131,745)=15,000

Multiply by -1 both sides

(x-131,745)=-15,000

Adds 131,745 both sides

x=-15,000+131,745

x=\$116,745

Remember that

The prices of these two cars differ <u><em>by more</em></u> than $15,000

therefore

The possibilities for the price of car B are more of $146,745 or less than $116,745

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