Suppose that $ y $ varies directly with $ x $, and $ y = 9 $ when $ x = 18 $.**(a)** Write a direct variation equation that relates $ x $ and $ y $.Equation: $\_\_\_\_\_$**(b)** Find $ y $ when $ x = 5 $.$ y = \_\_\_\_\_$There are no graphs or diagrams to explain in this image. **Educational Website Text**Write an equation that expresses the following relationship.$ p $ varies directly with $ d $ and inversely with the square of $ u $.In your equation, use $ k $ as the constant of proportionality.**Input Box**: [ ] **Equation Input Icons**: - Fraction- Exponentiation**Action Buttons**:- Check- Reset- HelpTo solve the problem, construct the equation as:\[ p = \frac{k \cdot d}{u^2} \] Here, $ k $ is the constant of proportionality, $ d $ is directly proportional, and $ u^2 $ is inversely proportional. Use the provided equation input icons for fractions and exponents to help you format the equation correctly. Once the equation is entered, press "Check" to verify your solution. Use "Reset" to clear your input or "Help" for more guidance.

" Since you have asked multiple question, we will solve first question for you. If you want any…

Answered: Equation: I (b) Find y when x = 5.

Math

Algebra

Equation: I (b) Find y when x = 5.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Suppose that $ y $ varies directly with $ x $, and $ y = 9 $ when $ x = 18 $.

**(a)** Write a direct variation equation that relates $ x $ and $ y $.

Equation: $\_\_\_\_\_$

**(b)** Find $ y $ when $ x = 5 $.

$ y = \_\_\_\_\_$

There are no graphs or diagrams to explain in this image.

**Educational Website Text**

Write an equation that expresses the following relationship.

$ p $ varies directly with $ d $ and inversely with the square of $ u $.

In your equation, use $ k $ as the constant of proportionality.

**Input Box**: [ ]

**Equation Input Icons**:
- Fraction
- Exponentiation

**Action Buttons**:
- Check
- Reset
- Help

To solve the problem, construct the equation as:

\[ p = \frac{k \cdot d}{u^2} \]

Here, $ k $ is the constant of proportionality, $ d $ is directly proportional, and $ u^2 $ is inversely proportional. Use the provided equation input icons for fractions and exponents to help you format the equation correctly. Once the equation is entered, press "Check" to verify your solution. Use "Reset" to clear your input or "Help" for more guidance.

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