Proportional Vs Non Proportional Graphs

ROPORTIONAL AND NON PROPORTIONAL RELATIONSHIPS WORKSHEET

Problem one :

Determine if each of the following equations represents a proportional or nonproportional human relationship.

(i) q = 2p + (one/2)

(ii) five = (ane/10)u

(3) t = 15d

(iv) m = 0.75d - 2

A linear relationship is a proportional relationship wheny/x is constant. Otherwise, the linear relationship is nonproportional.

Solution

Trouble 2 :

Make up one's mind if each of the post-obit equations represents a proportional or nonproportional human relationship.

(i) d = 65t

(ii) p = 0.1s + 2000

(iii) n = 450 − 3p

(4) 36 = 12d

A linear human relationship is a proportional relationship when y/x is abiding. Otherwise, the linear human relationship is nonproportional.

Solution

From the Table

Problem 3 :

Determine which of the following tables stand for proportional relationships.

(iv)

Solution

Problem 4 :

Decide if the linear relationship represented by each table is a proportional or nonproportional relationship.

From the Argument

Problem 3 :

Determine which situation is a proportional relationship and which situation is a nonproportional relationship.

Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work.

one) How much do Dylan and Angela each brand per hr?

2) Is Dylan's wage for 25 hours proportional to Amber'due south wage for 42 hours? Why or why not?

Solution

Problem iv :

This year, Andrea celebrated her 12th birthday, and her brother Carlos historic his sixth birthday. Andrea noted that she was at present twice as old equally her brother was. Is the relationship betwixt their ages proportional? Support your answer. Solution

Problem 5 :

Lily is because buying books on display three different tables. Each table has i of the following signs.

Offer A : Each Book $10

Offering B : Each book fifty% off.

Offer C : Each book $eight for social club members (ane time membership fee : $xv).

What will exist the full cost if Lily buys 6 books from the tabular array whose sign indicates a nonproportional relationship?

Solution

Problem vi :

Determine which situation is a proportional relationship and which situation is a nonproportional relationship.

(i) The toll for Exam Prep Heart A is $20 times the number of hours that you attend.

(two) The cost for Test Prep Heart B is $25 an hour, but you take a $100 coupon that you can apply to reduce the cost.

Solution

From the Graph

Problem 7 :

Complete the tables below and then graph each set of information.

Solution

Trouble 8 :

Determine if each of the following graphs represents a proportional or nonproportional relationship.

(i)

(two)

If it is a linear equation it can exist written in the form y = mx + b . If it is also proportional, then b = 0 and it tin can also be written as y = kx. Solution

Trouble 9 :

Determine if each relationship is a proportional or nonproportional situation.

(i)