Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Bases on monthly weigh-ins, his weight, w, can be modeled by the function w=-3m+205 where m is the number of months after January 2013.

a) How much did Jonathan weight at the start of the diet?

b) How much weight has Jonathan been losing each month?

c) How many months did it take Jonathan to lose 45 pounds?

Sagot :

kate200468
[tex]a)\ \ \ w(m)=-3m+205\\\\m=0\ \ \ - at\ the\ start\ of\ the\ diet\\ \\w(0)=-3\cdot0+205=205\\ \\Ans.\ weigh\ at\ the\ start\ of\ the\ diet\ is\ 205\ pounds\\ \\b)\ \ \ w(m+1)=-3(m+1)+2015=-3m-3+205=-3m+202\\ \\w(m+1)-w(m)=-3m+202-(-3m+205)=\\ \\=-3m+202+3m-205=-3\\ \\Ans.\ Jonathan\ has\ each\ month\ 3\ been\ losing \\ \\ w(m)=205-45=160\ \ \ \Rightarrow\ \ \ -3m+205=160\ \ \ \Rightarrow\ \ \-3m=-45\\ \\m=15\\ \\Ans.\ 15\ month[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.