To find the exponential function that models this situation, we can use the general form of an exponential function: y = ab^x, where a is the initial value and b is the common ratio.
Given the values in the table, we can see that the initial value (when x = 0) is $11,000. This means that a = 11,000.
To find the common ratio, we can divide the value at each year by the value of the previous year:
b = (v(1))/v(0) = 9,350/11,000 = 0.85
b = (v(2))/v(1) = 7,948/9,350 = 0.85
b = (v(3))/v(2) = 6,755/7,948 = 0.85
Since the common ratio is the same for each year, we can conclude that the formula for this situation is:
v(x) = 11,000 * (0.85)^x
The table below shows the value in dollars of a car at the end of `x` year
Number of Years, x: 0 | 1 | 2 | 3
Value, v(x) (dollars): 11,000 | 9,350 | 7,948 | 6,755
Which exponential function models this situation?
3 answers
The graph shows the number of game systems sold since 2015. Based on this information, which function best models the number of game systems sold in millions x years since 2015?
Since you mentioned that there is a graph that shows the number of game systems sold since 2015, it would be more helpful if you could provide the specific data or describe the trend on the graph. This would allow us to determine the function that best models the number of game systems sold.