Question

When Marco swim, the number of calories burned after time x, In minutes, is given by the equation y = 330 + 8.2xhow long will it take Marco to burn 800 calories? 1. 62 minutes 2. 57 minutes 3. 45 minutes 4. 51 minutes

Answer 1

Set y=800 and solve for x to find the time it will take for Marco to burn 800 calories:

`\begin{gathered} y=330+8.2x \\ \Rightarrow800=330+8.2x \\ \Rightarrow8.2x=800-330 \\ \Rightarrow8.2x=470 \\ \Rightarrow x=(470)/(8.2) \\ \therefore x=57.31707317\ldots \end{gathered}`

To the neares minute, it will take 57 minutes to burn 800 calories.