Question

9. The graph shows the number of boxesa machine packages over time. Is therelationship proportional? How many boxesdoes the machine package in 4 minutes?tyу150Number of Boxes10050Х002 4 6Time (min)

Answer 1

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form

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

In this problem

the line passes through the origin

that means

The relationship is proportional

Find out the equation

we need one point

(2,50)

K=m=y/x=50/2=25

the linear equation is

y=25x

so

For x=4 minutes

substitute

y=25*(4)=100 boxes