Y=5x - 3
Because the difference in the y values are 5, the rise is 5. That is the TOP of the slope. The difference in the x values is 1, that is the run or the BOTTOM of the slope. So m = 5/1.
Using y = mx + b
2 = 5(1) + b
-3 = b
Therefore, y = 5x -3
Answer:
D) 130 workers
Step-by-step explanation:
We have the equation, <em>y = 2x + 40</em>, and <em>y, 300</em> (since the y-coordinate represents the # of bottles made), so we can solve for x, <em>the number of workers needed</em>.
Substitute: <em>300 = 2x + 40</em>
Subtract: <em>260 = 2x</em>
Divide: <em>x = 130</em>
Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.
Answers:
Answer for row one: 1
Answer for row two: 11
Answer for row three: 16
Answer for row four: 36
=========================================
Work Shown:
Whatever the x value is, we multiply by 5 and subtract off 14 to get the corresponding y value. This is following the order of operations PEMDAS
------------
If x = 3, then
y = 5*x - 14
y = 5*3 - 14 ..... note how x is replaced with 3
y = 15 - 14
y = 1
This means that when x = 3, the y value is y = 1.
So 1 goes in the box in the first row.
---------------
Repeat for x = 5
y = 5*x - 14
y = 5*5 - 14
y = 25 - 14
y = 11
We have 11 as the second answer.
--------------
Repeat for x = 6
y = 5*x - 14
y = 5*6 - 14
y = 30 - 14
y = 16
The third answer is 16.
--------------
Repeat for x = 10
y = 5*x - 14
y = 5*10 - 14
y = 50 - 14
y = 36
The last answer is 36.
5 + 8 = 13
169/13 = 13
13 * 5 = 65
13 * 8 = 104
Thus, 65:104