Answer:
Option c. $2,250
Step-by-step explanation:
we know that
The minimum household income needed for the given budget, must be equal at least to the sum of all categories values of the monthly budget
so
Find the sum of all categories values
therefore
The minimum household income needed for this budget is $2,250
Answer:
The graph is attached.
Step-by-step explanation:
First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.
From (-3, 0) to (5, 4), the slope would be
m = (4-0)/(5--3) = 4/8
Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:
(4(1/2))/(8(1/2)) = 2/4
This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).
From (-3, 0) to (3, 8) the slope is
m = (8-0)/(3--3) = 8/6
Multiplying the rise and run by 1/2, we have
(8(1/2))/(6(1/2)) = 4/3
This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).
From (-3, 0) to (-5, 4), the slope is
m = (4-0)/(-5--3) = 4/-2.
Multiplying the rise and run by 1/2, we have
(4(1/2))/(-2(1/2)) = 2/-1
This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).
These three vertices give us the dilated figure.
