Answer:
- y=0.8x
- See Explanation for others
Step-by-step explanation:
The 3 cans of beans had a total weight of 2.4 Pounds
Therefore:
- 1 can of beans = (2.4 ÷ 3) =0.8 Pounds
The following applies from the options.
- y=0.8x where y is the weight and x is the number of cans.
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
Using y=0.8x
When x=5, y=0.8 X 5=4
When x=15, y=0.8 X 15=12
When x=20, y=0.8 X 20=16
![\left|\begin{array}{c|c}\text{Number of Cans,x}&\text{Total Weight (in Pounds),y}\\-------&--------\\5&4\\15&12\\20&16\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Ctext%7BNumber%20of%20Cans%2Cx%7D%26%5Ctext%7BTotal%20Weight%20%28in%20Pounds%29%2Cy%7D%5C%5C-------%26--------%5C%5C5%264%5C%5C15%2612%5C%5C20%2616%5Cend%7Barray%7D%5Cright%7C)
- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12). This can be clearly seen from the table above as (5,4) and (15,12) are points on the line.
Was there a chart with this?
Answer:
B
Step-by-step explanation:
Answer:
<em>Shayla charges $20 per hour for middle school students and $25 per hour for high school students.</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = Shayla's hourly charge for middle school students
y = Shayla's hourly charge for high school students
Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:
5x + 12y = 400 [1]
This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:
6x + 10y = 370
Dividing by 2:
3x + 5y = 185 [2]
We have formed the system of equations:
5x + 12y = 400 [1]
3x + 5y = 185 [2]
Multiply [1] by -3 and [2] by 5:
-15x - 36y = -1200
15x + 25y = 925
Adding both equations:
-11y = -275
Dividing by -11:
y = -275/(-11) = 25
y = 25
Substituting in [1]:
5x + 12*25 = 400
5x + 300 = 400
5x = 400 - 300 = 100
x = 100/5 = 20
x = 20
Shayla charges $20 per hour for middle school students and $25 per hour for high school students.
We can't find explicit values for
and
, since there is only one equation, but two variables.
The best we can do is solve for one variable with respect to the other:
Solve for
:
subtract
from both sides:
![110-5y = 9x](https://tex.z-dn.net/?f=%20110-5y%20%3D%209x%20)
divide both sides by
:
![\frac{110-5y}{9} = x](https://tex.z-dn.net/?f=%20%5Cfrac%7B110-5y%7D%7B9%7D%20%3D%20x%20)
Solve for
:
subtract
from both sides:
![110-9x = 5y](https://tex.z-dn.net/?f=%20110-9x%20%3D%205y%20)
divide both sides by
:
![\frac{110-9x}{5} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B110-9x%7D%7B5%7D%20%3D%20y%20)