12. W varies directly as u² and v, and W is 75 when u is 5 and vis 9. What is v when W is 150 and u is 10?
a. 4
b. 4.5
d. none of these
C. 5
Share
12. W varies directly as u² and v, and W is 75 when u is 5 and vis 9. What is v when W is 150 and u is 10?
a. 4
b. 4.5
d. none of these
C. 5
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Problem:
w varies directly as u² and v, and w is 75 when u is 5 and v is 9. What is v when w is 150 and u is 10?
Choices:
Solution:
In the statement of "w varies directly as u² and v" translated to w = ku²v.
k is the constant of variation that relates the two variables. Now, write an equation of a jointly variation.
Solve if w is 75 when u is 5 and v is 9. So, find the constant.
The constant of the variation is 1/3. In equation of variation.
Find v when w is 150 and u is 10. Substitute the equation using the constant of the variation that you obtained.
In decimal point:
Answer:
∴Therefore, the value of v is 4.5 to the jointly variation.
#CarryOnLearning