Question

During the fall a pumpkin patch advertises four pumpkins for $11.00. Which equation below represents this proportional relationship? Question options: y=411x y=4x+11 y=11x+4 y=114x

Answer 1

`y=(11)/(4)x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of pumpkins (independent variable or input value)

y ----> the cost of the pumpkins (dependent variable or output value)

we have that

For x=4, y=11

Find the value of the constant of proportionality k

`k=(y)/(x)=(11)/(4)`

The linear equation is

`y=(11)/(4)x`