Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if
where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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<span>y = 12x
Substitute 3 for x
</span><span>y = 12(3)
Multiply
Final Answer: B.) y=36</span>
Split the figure into two shapes.
Top rectangle would be 6 feet x 5 feet ( 8-3)
The bottom rectangle would be 2 feet x 3 feet.
Calculate the area of both and add them together:
6 x 5 = 30
2 x 3 = 6
Total area = 30 + 6 = 36 square feet.
Answer:
<u>1,600</u>
Step-by-step explanation:
divide the total money by the time to get unit rate such as 4800 divided by 3 equals <u>1600</u>
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Answer and Step-by-step explanation:
The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:
-18x² - 15x + 3 = 0
into
(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0
6x² + 5x - 1 = 0
And that gives the "swapped signs".