Determine whether y varies directly with x

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 271 People

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
x y
7 11
8 13
9 15
10 17

Answered by maham237 @ 25/12/2020

The correct answer is that y does not vary directly with x.

Explanation:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.

For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.

Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.

This is not true, so k is not a constant, and y does not vary directly with x.

Determine whether y varies directly with x

Similar Questions

Determine whether y varies directly with x if so find the constant of variation k 3y=-7x-18

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ

Find the value of y for a given value of x if y varies directly with x if y=-252 when x=84

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ

If x and y are in direct proportion then

How to determine x and y intercepts of an equation

Solve the system by elimination x+5y-4z=-10

Which represents the reflection of f(x) = over the y-axis?

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Which represents the reflection of f(x) = \sqrt{x} over the y-axis?

In the equation y=ab^(x-h)+k how does

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

Is x y a solution to the system of equations

How to find x and y intercepts of rational functions

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220