The relationship is linear.
The reason why is because each time x increases by 1, the value of y increases by 3. In other words, the slope is 3 and it is constant no matter what two points you pick
x = input
y = output
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Extra Info:
slope = rise/run
slope = (change in y)/(change in x)
slope = 3/1
slope = 3
The y intercept is (0,6). Think backwards in terms of the pattern going on.
Or you can plug m = 3 and (x,y) = (1,9) into y = mx+b and solve for b to get b = 6
To solve this problem, we have to manually
solve for the value of x for each choices or equations. The correct equation
will give a value of -1 since the linear equations intersects at point (-1,
-4).
<span>1st: 7x + 3 = x + 3</span>
7x – x = 3 – 3
6x = 0
<span>x = 0 (FALSE)</span>
<span>2nd: 7x − 3 = x – 3</span>
7x – x = 3 – 3
6x = 0
<span>x = 0 (FALSE)</span>
<span>3rd: 7x + 3 = x − 3</span>
7x – x = - 3 – 3
6x = -6
<span>x = -1 (TRUE)</span>
<span>4th: 7x − 3 = x + 3</span>
7x – x = 3 + 3
6x = 6
<span>x = 1 (FALSE)</span>
Therefore the answer is:
<span>7x + 3 = x − 3</span>
We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be 
cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.
