Write the exponential function 𝑦=50𝑒^−0.13𝑡 in the form 𝑦=𝑎𝑏^t

Question

Once you have rewritten the formula, round to four decimal places.

b=

Answer 1

We have a rule for exponents that we can apply here: a^bt = (a^b)^t

Using this rule, we can rewrite the function thusly: y = 50(e^-.13)^t

So b = e^-.13 which you can use a calculator to evaluate and round appropriately.