micawalk4530
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Given the following set of ordered pairs, determine if it is direct or inverse variation and find the value of k. (2, -10) (4, -20) (7, -35) (8, -40)

Sagot :

Answer:

direct variation

Step-by-step explanation:

The constant of variation k for direct variation is

k = [tex]\frac{y}{x}[/tex]

Calculate this ratio for each set of points

[tex]\frac{-10}{2}[/tex] = [tex]\frac{-20}{4}[/tex] = [tex]\frac{-35}{7}[/tex] = [tex]\frac{-40}{8}[/tex] = - 5

Then ordered pairs are in direct variation with k = - 5

The constant of variation for inverse variation is

k = xy

2 × - 10 = - 20

4 × - 20 = - 80

7 × - 35 = - 245

8 × - 40 = - 320

There is no constant thus not inverse variation

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.