Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.

b. Give an example for which Arial's claim is false.

c. Suggest an improvement to Arial's claim,

Coupon 1

Step-by-step explanation:

Purchase list :

1/2 lb cheese

3 lbs sliced ham

2 loaves of bread

4 bags of potato chips

1 container of salsa.

Cost of 1 lb cheese = $1.99

So, cost of 1/2 lb =

                            =

Cost of 1 lb sliced Ham = $3.29

So, cost of 3 lb Sliced Ham =

                                             =

Cost of 1 loaf of bread = $ 1.59

So, cost of 2 loaves of bread =

                                                =

Cost of 2 bags of potato chips = $ 3

So, cost of 4 bags = $3+$3  = $6

Cost of 1 container of salsa = $1.39

So, total cost of purchase before sales tax = =

Now The food sales tax is 3%.

So, 3% of total =

                        =

                        =

Thus total cost including sales tax =

                                                        = $22.036

Coupon 1: $4.00 off if your purchase totals more than $15.00

Since total cost is more than $15

So, $4 is off on total cost

So, total cost after coupon is applied = $22.036-$4 =$18.036

Coupon 2:  10% off if the total is more than $20.00.

So, 10% of total cost =

                                  =

                                  =

So, total cost after getting 10 % off =

                                                          =19.8324

So, total cost after coupon 2 is applied = $19.8324

Hence coupon 1 will save the most money .