Mathematics, 09.12.2021 03:00 katet2965
Help with these problems please!!
Text: DeShawn's dog, Almondine, has a growing litter of very cute little puppies. They are getting a little rowdy with each other, so DeShawn thinks it would be a good idea to separate the puppies into two pens. Since he doesn't want them to be too far away from each other, he decides that he will construct the pens so that they are right next to each other and have the same length (y/2) and width (x). He imagines the pens to look like this:
DeShawn has 120 feet of fencing for the pens. He likes his design because putting the two pens together not only lets the pups play safely with each other, but also uses less fencing than if he made both pens separate. Brilliant!
1. Model the relationship between the combined area (A) and the two pens and the width of the pens (x). Show a table, a graph, and an equation as part of your model. (Use the grid provided.)
2. DeShawn would like the pens to have the maximum area that he can get with the fencing that he has. What dimensions (both length and width) produce the pens with the largest area? What is the maximum combined area of the pens? Explain how you got your answer.
3. What type of function is A? Justify your answer.
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Help with these problems please!!
Text: DeShawn's dog, Almondine, has a growing litter of very cut...
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