First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
Answer: C. (5, -10)
Step-by-step explanation:
When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.
The new point will be:
(A*x, A*y)
in this case, the point is (3, -6) and the scale factor is (5/3)
Then the new point will be:
(3*(5/3), -6*(5/3)) = (5, -10)
Answer:
The bridge can hold 1 ton
Step-by-step explanation:
Given that :
Model of bridge built is exactly 4 times smaller than actual bridge
Model bridge : actual bridge
1 : 4
From test,
Model bridge can hold 8000 ounces
Since actual bridge is 4 times the model bridge,;
Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces
16 ounces = 1 pound
2000 pound = 1 ton
Hence,
32,000 ounces = (32000 / 16) pounds = 2000 pounds
Hence,
2000 pounds = 1 ton
All points in which the y-value is the 4x the x-value so some points are
(1,4)
(2,8)
(3,12)
(4,16)
(5,20)
etc.
This is due to the fact the the perimeter of a square is always 4 times any side, since all sides are equal