Answer:
11. Slope of the line is 7/10.
12. Slope of the line is ![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
11. Given points are:
(-6, 1) and (4, 8)
Slope of a line is given by the formula;
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m = ![\frac{8-1}{4-(-6)}](https://tex.z-dn.net/?f=%5Cfrac%7B8-1%7D%7B4-%28-6%29%7D)
m = ![\frac{7}{4+6}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%2B6%7D)
m = ![\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D)
Slope of the line is 7/10.
12. Given points are:
(2, -3) and (5, -4)
Slope of the equation is;
m = ![\frac{-4-(-3)}{5-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4-%28-3%29%7D%7B5-2%7D)
m = ![\frac{-4+3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%2B3%7D%7B3%7D)
m = ![\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D)
Hence,
Slope of the line is
.
Answer:
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1. Take away the parentheses. x+2x+40+3x-50=15002
2. Add the X’s together.
x+2x+3x= 6x —> 6x+40-50=15002
3. Subtract 50 from 40.
40-50= -10 —> 6x-10=15002
4. Move -10 to the right hand side to make it positive.
6x=15002+10
5. Add 15002 and 10 together.
6x=15012
6. Divide 15012 by 6. Which makes the answer X=2502
Nothing to confuse. The number of partners are 3. $2.03 is the amount of tips they receive per hour. So devide $2.03 to get the amount of tip that one partner receives hourly, which is $0.68.
Now to create a function, it's clearly that the number of hours is the variable x so it would change depending on how many hours each employee has worked. So the equation will be :
y = 0.68x
Apply the number of hours of each employee and get the total of tip they receive per hour.
Edit : if the partners who are working is unknown you can write the equation based on this :
y = ((2.03)x)/n
n is the number of partners who are working so the amount of tip they will receive will depend on how many employees are working in the cafe.
Hope this helps !