Answer:
I noticed a pattern:
3 * 2 + 6 = 12 and 2 * 2 + 5 = 9
This means that a*b = 2a + b.
Answer:
(x+2)⋅(x−3)
Step-by-step explanation:
The system of inequality to model this situation is:
a≤200
5a+2.5b≤1500
<u>Step-by-step explanation:</u>
a represents number of adult T-shirts and c represents number of child T-shirts.
Price of adult T-shirt=$5
Price of child T-shirts=$2.5
Given that Jerome needs at least 200 adult T-shirts
He will not spend more than $1500 on T-shirts
The system of inequality has to be represented.
total number of T-shirts=a+b
not more than 200 adult T-shirts are purchased
a≤200
total price is not more than $1500
5a+2.5b≤1500
Hi there!
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I believe your answer is:
![y = 7x - 3\leftarrow \text{No.}\\\\y = 150x \leftarrow \text{Yes.}](https://tex.z-dn.net/?f=y%20%3D%207x%20-%203%5Cleftarrow%20%5Ctext%7BNo.%7D%5C%5C%5C%5Cy%20%3D%20150x%20%5Cleftarrow%20%5Ctext%7BYes.%7D)
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Here’s why:
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![\boxed{\text{General Proportional Formula:}}\\\\y = kx\\\rule{150}{0.5}\\$\bullet \text{ } k - \text{Constant of Proportionality}\\\rule{150}{0.5}\\\text{Since } y=150x \text{ is in this form, we can say that it is a proportional relationship.}\\\rule{150}{0.5}\\\text{We can also tell if something is proportional by graphing them.}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BGeneral%20Proportional%20Formula%3A%7D%7D%5C%5C%5C%5Cy%20%3D%20kx%5C%5C%5Crule%7B150%7D%7B0.5%7D%5C%5C%24%5Cbullet%20%5Ctext%7B%20%7D%20k%20-%20%5Ctext%7BConstant%20of%20Proportionality%7D%5C%5C%5Crule%7B150%7D%7B0.5%7D%5C%5C%5Ctext%7BSince%20%7D%20y%3D150x%20%5Ctext%7B%20is%20in%20this%20form%2C%20we%20can%20say%20that%20it%20is%20a%20proportional%20relationship.%7D%5C%5C%5Crule%7B150%7D%7B0.5%7D%5C%5C%5Ctext%7BWe%20can%20also%20tell%20if%20something%20is%20proportional%20by%20graphing%20them.%7D)
![\textbf{Proportional graphs go through the origin.}](https://tex.z-dn.net/?f=%5Ctextbf%7BProportional%20graphs%20go%20through%20the%20origin.%7D)
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Since y = 7x - 3 does not pass the origin, it is not proportional. However, y = 150x does, so it is proportional.
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Hope this helps you. I apologize if it’s incorrect.
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