Question

Your teacher recently found an old Nintendo in a thrift store. Use the formula to predict the value of the Nintendo in 2020? (Remember, x is the years after 1986, and y is the value, in $.) Do you think this is a realistic prediction of the value of that Nintendo?

A. f(34) = 3(34)^3 - 40(34) + 180

B. f(2020) = 3(2020)^3 - 40(2020) + 180

C. f(10) = 3(10)^3 - 40(10) + 180

D. f(5) = 3(5)^3 - 40(5) + 180

Answer 1

To predict the value of the Nintendo in 2020, one would use option A, f(34), which represents the value 34 years after 1986. The formula yields the projected value when computed, but the realism of this value depends on actual market conditions.

Step-by-step explanation:

The formula you provided suggests that the value of the Nintendo in question is based on the number of years after 1986. Thus, to predict the value of the Nintendo in 2020, you would calculate f(34), which represents 34 years after 1986. Using the given formula: f(34) = 3(34)^3 - 40(34) + 180.

To compute this, it would be f(34) = 3(34^3) - 40(34) + 180. This calculation yields the projected value of the Nintendo in 2020.

Now, whether this is a realistic prediction or not is based on factors outside of the mathematical model, including the condition of the Nintendo, its rarity, and market demand. However, based on the given formula, option A is the correct method for calculating the predicted value.