Answer for #1
Let the old price be
$
x
per liter. 10 liters would have cost a total of
$
10
x
.
The new price is
$
(
x
+
0.20
)
per liter. 10 liters would have cost
$
10
(
x
+
0.20
)
.
The total cost is
$
9.20
. So,
10
x
+
10
(
x
+
0.20
)
=
9.20
10
x
+
10
x
=
9.20
−
2
x
=
7.20
20
x
=
0.36
Thus, the old price was
$
0.36
per liter.
Answer:
Minimum value occurs at (x, y) = (-5,0)
Step-by-step explanation:
Given: 3x + y =15
Rewriting this equation to Slope - Intercept form, we get:
y = -3x + 15
Squaring both sides,


Substituting in
we get:

= 
Comparing this equation with
we get
and
.
The minimum value occurs at the axis of symmetry given by
.
Therefore, x = - 

If x = 5, y = -3(5) + 15 = 0
Thus, the point becomes (5,0) where it is minimum.
Answer:
25 ≤ 2.5n
Step-by-step explanation:
Total budgeted amount = $25
Cost per pack of = $2.50
To represent the relationship using inequality :
Let the Total number of packs purchased = n
Hence,
Total budgeted amount ≤ (cost per pack * number of packs)
25 ≤ 2.5n
This means the total actual purchase made should be less than or equal to the budgeted amount.