Question

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

Answer 1

Answer:

The model is s = k $(t)^{5}$

Step-by-step 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 $\frac{y}{x}$ = 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 $(t)^{5}$