Alocal culinary market sells ground sumac for $1.25 per ounce and ground thyme for $1.50 per ounce. you want to make a 25-oz seasoning blend using the two spices that sells for $1.35 per ounce. how much of each spice should you use?

Let
x> ounces of ground sumac
y> ounces of ground thyme

we know that
x+y=25> x=25-y> equation 1
1.25x+1.5y=1.35*25> 1.25x+1.5y=33.75> equation 2

substitute equation 1 in equation 2
1.25*[25-y]+1.5y=33.75> 31.25-1.25y+1.5y=33.75
0.25y=2.5
y=10
x=25-y> x=25-10> x=15

the answer is
15 ounces of ground sumac
10 ounces of ground thyme

A) Find where the line on the graph crosses the X and Y values and divide the Y value ( price of corn) by the X value ( number of bushels)

price = 24, number of bushels =3

24/3 = 8 dollars per bushel.

B) Previous year: 3 bushels cost 21 dollars:

21 /3 = 7 dollars per bushel.

8 - 7 = $1 more than the previous year.