SAT question 566759ef (Percentages)

Question

Thomas installed a new stove in his restaurant. At the time of installation, the stove had a value of $ $800$ . Thomas estimates that each year the value of the stove will depreciate by $20%$ of the previous year's estimated value. What is the estimated value of the stove exactly $2$ years after Thomas installed it?

32

Difficulty:Medium

A

$ $480$

B

$ $512$

C

$ $556$

D

$ $640$

College Board · Accepted Answer

The correct answer is B. Choice B is correct. If the stove's value depreciates by 20% of the previous year's estimated value, then each year it retains 100% - 20% = 80% , or 0.80 , of the previous year's estimated value. Since the stove's value was $ 800 when Thomas installed it, the estimated value after two years would be (0.80)(0.80)(\ 800) = \ 512 .

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 566759ef: Percentages answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong