Tom is 77 inches tall and shrinking at a rate of 0.75% every eyar. How tall will he be after 15 years?

Whats the exponential function

The exponential funtion is "height (n) = 77 * (0.9925) ^n". After 15 years he is 68.7778 inches.

Step-by-step explanation:

Since Tom's initial height is 77 inches. After one year:

height (1) = 77 * (1 - 0.0075) = 77*0.9925

After two years:

height (2) = height (1) * (0.9925) = 77*0.9925 * (0.9925) = 77 * (0.9925) ²

After three years:

height (3) = height (2) * 0.9925 = 77 * (0.9925) ²*0.9925 = 77 * (0.9925) ³

And so on, therefore the expression that represents his height is:

height (n) = 77 * (0.9925) ^n

Where n is the number of elapsed years. For 15 years we have:

height (15) = 77 * (0.9925) ^ (15) = 68.7778 inches

The exponential funtion is "height (n) = 77 * (0.9925) ^n". After 15 years he is 68.7778 inches.