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

Answer:

$y=\frac{11}{4}x$

Step-by-step 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

$k=\frac{y}{x}=\frac{11}{4}$

The linear equation is

$y=\frac{11}{4}x$