Question

Write a model for the statement
s is directly proportional to the fifth power of t.

Answer 1

The model is s = k
`(t)^(5)`

Explanation:

• Direct proportion means that two quantities increase or decrease in the same ratio

• If y is directly proportion with x (y ∝ x), then y = k x, where k is the proportionality constant or
  `(y)/(x)` = k

• Direct proportional represented graphically by a straight line passes through the origin

∵ s is directly proportional to the fifth power of t

- Fifth power of t means
`(t)^(5)`

∴ s ∝
`(t)^(5)`

∴ s = k
`(t)^(5)` , where k is proportionality constant

The model is s = k
`(t)^(5)`