The box of 100 would be the better deal, considering buying 2 boxes of 50 would turn out to be $47.00
<h2>SOLVING</h2>
![\Large\maltese\underline{\textsf{A. What is Asked}}](https://tex.z-dn.net/?f=%5CLarge%5Cmaltese%5Cunderline%7B%5Ctextsf%7BA.%20What%20is%20Asked%7D%7D)
What's the equation with a slope of -4 that goes through (-1,1)? find it
![\Large\maltese\underline{\textsf{B. This problem has been solved!}}](https://tex.z-dn.net/?f=%5CLarge%5Cmaltese%5Cunderline%7B%5Ctextsf%7BB.%20This%20problem%20has%20been%20solved%21%7D%7D)
The equation used, here is
.
| simplify after putting in the information given
![\bf{y-1=-4(x+1)}](https://tex.z-dn.net/?f=%5Cbf%7By-1%3D-4%28x%2B1%29%7D)
![\rule{300}{1.7}](https://tex.z-dn.net/?f=%5Crule%7B300%7D%7B1.7%7D)
![\bf{Result:}](https://tex.z-dn.net/?f=%5Cbf%7BResult%3A%7D)
![\bf{=y-1=-4(x+1)}](https://tex.z-dn.net/?f=%5Cbf%7B%3Dy-1%3D-4%28x%2B1%29%7D)
![\boxed{\bf{aesthetic\not101}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbf%7Baesthetic%5Cnot101%7D%7D)
Answer:
x =2
Step-by-step explanation:
x + 7 = 6x - 3
7 + 3 = 6x - x
10 = 5x
x = 10 ÷ 5
x = 2
Given that:
- Amber can peel this amount of potatoes:
![10\frac{1}{2}\text{ }potatoes](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20%7Dpotatoes)
- And she can peel them in this time:
![\frac{1}{3}\text{ }hour](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20%7Dhour)
You can determine that the Unit Rate is the number of potatoes she can peel per hour.
Since the number of potatoes is given as a Mixed Number, you can convert it to an Improper Fraction as follows:
1. Multiply the Whole Number part by the denominator.
2. Add the Product to the numerator.
3. The denominator does not change.
Then:
![10\frac{1}{2}=\frac{(10\cdot2)+1}{2}=\frac{20+1}{2}=\frac{21}{2}](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%2810%5Ccdot2%29%2B1%7D%7B2%7D%3D%5Cfrac%7B20%2B1%7D%7B2%7D%3D%5Cfrac%7B21%7D%7B2%7D)
Now you can set up that:
![Unit\text{ }Rate=\frac{\frac{21}{2}\text{ }potatoes}{\frac{1}{3}\text{ }hour}](https://tex.z-dn.net/?f=Unit%5Ctext%7B%20%7DRate%3D%5Cfrac%7B%5Cfrac%7B21%7D%7B2%7D%5Ctext%7B%20%7Dpotatoes%7D%7B%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20%7Dhour%7D)
Solving the Division, you get:
![\begin{gathered} Unit\text{ }Rate=\frac{21\cdot3}{2\cdot1}\frac{potatoes}{hour} \\ \\ Unit\text{ }Rate=\frac{63}{2}\frac{potatoes}{hour} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Unit%5Ctext%7B%20%7DRate%3D%5Cfrac%7B21%5Ccdot3%7D%7B2%5Ccdot1%7D%5Cfrac%7Bpotatoes%7D%7Bhour%7D%20%5C%5C%20%20%5C%5C%20Unit%5Ctext%7B%20%7DRate%3D%5Cfrac%7B63%7D%7B2%7D%5Cfrac%7Bpotatoes%7D%7Bhour%7D%20%5Cend%7Bgathered%7D)
Hence, the answer is:
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