A new startup company is incurring debt at an exponential pace. At the beginning, the company only had 5 thousand dollars

Question

of debt, but 4 months later, they had 80 thousand dollars in debt.
Find a function that represents the amount of debt, in thousands of dollars, this company has m months since the
beginning.

Answer 1

Let D(m) represent the amount of debt in thousands of dollars that the company has m months since the beginning.

Since the debt is increasing at an exponential rate, we can determine the function as follows:
D(m) = 5 * 2^(m-1)

Plugging in m = 4:
D(4) = 5 * 2^(4-1)
D(4) = 5 * 2^3
D(4) = 5 * 8
D(4) = 40

Therefore, the function that represents the amount of debt in thousands of dollars the company has m months since the beginning is:
D(m) = 5 * 2^(m-1)