the formula t=10ln (80/80-n), where n is the score and t is the time in weeks, a dog's score on an obedience test, how long it will take a dog to score 50?

Question

This question I am really stumped please help, thank you.

Answer 1

I'm assuming that it's 80/(80-n) and not (80/80)-n in the formula.

Since n is the score and t is the time in the formula:

t=10ln (80/(80-n))

We put n = 50 and solve for t to find out how many weeks the dog takes to score 50

t=10ln (80/(80-50))

t=10ln (80/30)

t=10ln (8/3)

Now, we use a scientific calculator to find out the value of ln(8/3)

t = 10*0.981

t = 9.81 weeks

Since the question does not ask for breaking the time down to the nearest weeks or days, I'm leaving the answer in decimals.