Answer:
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
The ratio between the two variables is a constant called constant of proportionality k
<u><em>Verify each case</em></u>
A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Multiply in cross
Is true
therefore
The situation represent a proportional relationship
C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
If its 20 more than last month that means x + $20 = $70, solve that and you get x = $50, last month she saved $50
Answer: 20
Step-by-step explanation:
Answer: Choice B 
=============================================
Explanation:
The endpoint is at 4.5 and this endpoint is a filled in circle. So we'll have "or equal to" as part of the inequality sign. This is because we are including the endpoint as part of the shaded solution region.
The other part of the inequality sign is "less than" because the shading is to the left of the endpoint. Any point in the shaded region is less than 4.5, or it could be equal to 4.5
Put another way: x is either 4.5 or smaller
We write that as 
which is read out as "x is less than or equal to 4.5"
Surrounding this in curly braces tells the reader we're dealing with a set of values. The first part "x |" means "x such that"
All together we end up with the answer 
which translates to "x such that x is less than or equal to 4.5"
Answer:
see explanation
Step-by-step explanation:
(a)
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) + 5 represents a shift up of 5 units, thus
(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )
(b)
Given f(x) then - f(x) represents a reflection of f(x) in the x- axis
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(2, - 3 ) → (2, 3 )
