Answer:
The given function is not a proportional relationship
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 or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem we have
This is the equation of the line in slope intercept form
where
e ---> represents her daily earnings
h ---> represents the number of hours she works
we have
The slope is equal to
The y-intercept is
Remember that
In a proportional relationship the y-intercept is equal to zero, because the line passes through the origin
In this problem, the y-intercept is not equal to zero, so this line don't pass through the origin
therefore
The given function is not a proportional relationship
Answer:
C
Step-by-step explanation:
The x's can not completely cancel each other out so they are still included but you have to divide the numbers, exponents and whole numbers.
Okay. Let's make a proportion for this. So we can do 21/3=x/60. Let's multiply cross way. So 21 x 60 is 1260. We multiply 3 by x to get 3x. So our equation will be 3x=1260. We can isolate the equation by 3, and 1260 divided by 3 is 420. So x=420. We then have to convert into feet. So 420 divided by 12 is 35. So it would be 35 feet. Therefore, the machine can make 35feet of ribbon in a hour.