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The value of a car dropped from $23,600 to $21,900 over the last year. Determine the actual and relative change in this situation.


Actual Change: ? This car's value decreased by $

last year.

Round your answer to the nearest dollar.


Relative Change: ? This car's value decreased by

% last year.

Round your answer to the nearest tenth of a percent.

Sagot :

Answer:

The actual change in the car's value is $[tex]1700[/tex] and the relative change is [tex]7.20[/tex]%.

Step-by-step explanation:

It is given that the value of a car is dropped from $[tex]23600[/tex] to $[tex]21900[/tex].

So, the change in the value is the drop in the value of car, which is, [tex]23600-21900=1700[/tex].

So, the actual change in this car's value is $[tex]1700[/tex].

The relative change can be given by the expression,

[tex]\dfrac{\:\rm{Actual Change}}{\:\rm{Original Value}}\times100[/tex]

Substituting values, the relative change can be given by,

[tex]\begin{aligned}\dfrac{1700}{23600} \times 100&=\dfrac{1700}{236}\\&=7.20\end{aligned}[/tex]

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