SAT Math · Nonlinear functions · easy
A car's value, in dollars, after t years is modeled by V(t) = 28,000(0.82)^t. By what percent does the car's value decrease each year?
A car's value, in dollars, after years is modeled by . By what percent does the car's value decrease each year?
Answer and explanation
Answer: 18
In an exponential model , the base is the yearly multiplier. Here , so the car keeps 82% of its value each year and loses 18%. The answer is 18. A common wrong answer is 82, which is the percent that remains rather than the percent lost. Another is 0.82, which misreads the decimal as a percent. A third is 28,000, the starting value. For decay, subtract the base from 1 and convert the result to a percent.
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