Question

translate the statement into symbols: the number of hours it takes to paint a house is inversely proportional to the numbers of people painting

Answer 1

let t= number of hours and n= number of workers

Answer 2

a and b are directly proportional: a = kb
a and b are inversely proportional: a = k/b

Answer 3

so would it be t=k/n?

Answer 4

or t=n/k?

Answer 5

You need t (hours) in terms of n (workers), so the equation is:
t = k/n, where k is the constant of porportionality

Answer 6

Now let's look at it and reason it out. Think of k as a constant number that does not change. Since n is in the denominator, as n bcomes larger, the fraction on the right becomes smaller. Right?

Answer 7

@aij83j Are you still there?

Answer 8

yes

Answer 9

Did you read my last answer?