Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Suppose that w and tvary inversely and that t = 1/5 when w = 4 Write a function that models the inverse variation, and find when w = 9; O I = 1 5w ; 4 45; O t = 1 s 00 ; 1 5; O t = 1 20w ; 1 80; O t = 4 5w ; 4 45

Sagot :

MrRoyal

A variation can be direct, inverse or joint

The function of the variation is [tex]tw = 4/5[/tex], and the value of t when w = 9 is 4/45

How to determine the equation

Given that w and t vary inversely, then it means that:

tw = k

Where, k is the constant of variation

t = 1/5 when w = 4.

So, we have:

[tex]1/5 * 4 = k[/tex]

This gives

[tex]4/5 = k[/tex]

Rewrite as:

[tex]k = 4/5[/tex]

Recall that:

tw = k

So, we have:

[tex]tw = 4/5[/tex]

When w = 9, the equation becomes

9t = 4/5

Divide both sides by 9

[tex]t = 4/45[/tex]

Hence, the function of the variation is [tex]tw = 4/5[/tex], and the value of t when w = 9 is 4/45

Read more about inverse variation at:

https://brainly.com/question/1327394

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.