Answer:
Correct option is (C)
Step-by-step explanation:
we are given that -Tim design a pair of shorts,S, and T-shirts,t.
Tim sell Sorts for $12 and T-shirts for $8 each.
Tim can work atmost 18 hours a day so we can write ![time\leq 18](https://tex.z-dn.net/?f=time%5Cleq%2018)
Time taken to design a T-shirt is 30 minutes and for Shorts, it is 45 minutes.
![\frac{30}{60}t+\frac{45}{60}s\leq 18\\\text{Multiply both the sides by 60}\\30t+45s\leq 1080\\\text{Divide both the sides by 45}\\s+0.66t\leq 24\\\text{Subtract 0.66t from both the sides}\\s\leq 24-0.66t](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B60%7Dt%2B%5Cfrac%7B45%7D%7B60%7Ds%5Cleq%20%20%2018%5C%5C%5Ctext%7BMultiply%20both%20the%20sides%20by%2060%7D%5C%5C30t%2B45s%5Cleq%201080%5C%5C%5Ctext%7BDivide%20both%20the%20sides%20by%2045%7D%5C%5Cs%2B0.66t%5Cleq%2024%5C%5C%5Ctext%7BSubtract%200.66t%20from%20both%20the%20sides%7D%5C%5Cs%5Cleq%2024-0.66t)
He must design 12 itesm each day, so we can write ![t+s\geq 12](https://tex.z-dn.net/?f=t%2Bs%5Cgeq%2012)
Further it can be written as
![t+s\geq 12\\\text{Subtract t from both the sides}\\s\geq 12-t](https://tex.z-dn.net/?f=t%2Bs%5Cgeq%2012%5C%5C%5Ctext%7BSubtract%20t%20from%20both%20the%20sides%7D%5C%5Cs%5Cgeq%2012-t)
Also Tim can not design more than 30 items in one day, so we can write
![t+s\leq 30\\\text{Subtsract t from both the sides}\\s\leq 30-t](https://tex.z-dn.net/?f=t%2Bs%5Cleq%2030%5C%5C%5Ctext%7BSubtsract%20t%20from%20both%20the%20sides%7D%5C%5Cs%5Cleq%2030-t)
Hence from the above equations , its claer that
![s\geq 12-t,s\leq 30-t,s\leq 24-0.66t,s\geq 0,t\geq 0](https://tex.z-dn.net/?f=s%5Cgeq%2012-t%2Cs%5Cleq%2030-t%2Cs%5Cleq%2024-0.66t%2Cs%5Cgeq%200%2Ct%5Cgeq%200)
Y=x-7 this is because you subtracted the x to both sides. Since y is a negative, you divide by -1 causing the -x to turn positive and the positive seven to be negative seven.
Answer: B. Translation, yes
-A is incorrect because the shape did not change
-C is incorrect because the shape isn’t reflected over the y axis
-D is incorrect because it’s clearly moved to a completely different part of the grid
Correct answer is A
Would appreciate brainliest answer :)