The value of a car decreases $500 for every 1,000 miles it is driven. the current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. what will be the value of the car, in dollars, at a point in time y years from now? a) $23,000 − $500y b) $23,000 − $0.02y c) $23,000 − $5,000y d) $23,000 − $0.0002y

A) $23,000 − $500y

Step-by-step explanation:

Given,

The current value of the car = $ 23,000

∵ Car is driven an average of 10,000 miles per year.

So, the number of miles it has been driven in y years = 10,000y

Also, the value of a car decreases $500 for every 1,000 miles it is driven,

i.e., for 1000 miles, decrement in price = $ 500

⇒ For 1000y miles, decrement in price = 500y dollars,

⇒ For y years, decrement in price = 500y dollars

Hence, the final value of car after y years = current value of car - total derment in price

= $ 23000 - $ 500y

Option 'A' is correct.

D

Step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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step-by-step explanation:

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