The two slopes are the key features. If the slopes are different, the two linear function will intercept.
1) 56 pennies
2) 36 pennies
3) 14 dimes
4) 4 quarters
5) 5 nickels
↝ x-intercept
↝ y-intercept
y = -5
↝ means that the shade/area is below the graph as shown in the first picture.
↝ x-intercept
↝ y-intercept
y = -3
↝ Since it's "≤" therefore. The shade/area is below the graph. For second picture.
First picture is first inequality
Second picture is second inequality.
Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50
If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1
Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4
Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3
