Representing Functions Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the table to answer the question. Years, x Value of Car, f(x) 1 29, 750.00 2 25, 287.50 3 21, 494.38 4 18, 270.22 5 ? A car decreases in value after a given number of years. The following function represents the value of the car in dollars with respect to its age, x, in years: f(x)=35,000(.85)x . Use the input-output table to determine the value of the car after 5 years. Round your answer to the nearest cent. (1 point) Rounded to the nearest cent, after 5 years, the value of the car will equal $. Remaining Attempts : 3 Skip to navigation

Question

Representing Functions Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the table to answer the question. Years, x Value of Car, f(x) 1 29, 750.00 2 25, 287.50 3 21, 494.38 4 18, 270.22 5 ? A car decreases in value after a given number of years. The following function represents the value of the car in dollars with respect to its age, x, in years: f(x)=35,000(.85)x . Use the input-output table to determine the value of the car after 5 years. Round your answer to the nearest cent. (1 point) Rounded to the nearest cent, after 5 years, the value of the car will equal $. Remaining Attempts : 3 Skip to navigation

Answer 1

To determine the value of the car after 5 years using the given function $ f(x) = 35,000(0.85)^x $, we need to substitute $ x = 5 $ into the function:

\[ f(5) = 35,000(0.85)^5 \]

First, calculate $ (0.85)^5 $:

\[ (0.85)^5 \approx 0.443705 \]

Now, multiply this value by 35,000:

\[ f(5) = 35,000 \times 0.443705 \approx 15,034.75 \]

Thus, rounded to the nearest cent, the value of the car after 5 years will equal $15,034.75.