Question

The amount of time it takes Heather to cook dinner is directly proportional to the number of ingredients involved. If it takes her t minutes to cook dinner when there are n ingredients involved how long does it take her to cook dinner when there are 15 ingredients involved?

Answer 1

15 minutes!

Since the ratio is 1 : 1, for every one ingredient it will take her one minute. 15 ingredients = 15 minutes.

Hope that helped!

:D®

P.S. I wonder what she's cooking.

Answer 2

`(15t)/(n)\text{ minutes}`

Explanation:

Given,

Time taken to cook dinner with n ingredients = t minutes.

i.e. n ingredients = t minutes,

⇒ 1 ingredient =
`(t)/(n)` minutes,

⇒ 15 ingredients =
`(15t)/(n)` minutes,

Hence, it will take
`(15t)/(n)` minutes to cook dinner when there are 15 ingredients involved.