Question-

Solve the following problems showing all your work every step of the way:

1. The following equation describes a person's optimum heart rate in beats per minute that should be achieved during exercise so that the exercise is most beneficial.

Heart rate = 0.6(220-a)

where a represents the age of the person in years.

Determine the optimum heart rate for a 35-year-old runner.

2. Research: One of the most famous formulas in the world was formulated by Albert Einstein. The formulas is E = mc2 . Use the library or the internet to research this formula and explain each variable and what the formula represents.

3. Write three different equations that have the solution of 5.

4. Set up the following problem as an equation and then solve. Tom's Rent-A-Heap Agency charges $150 per week plus $0.15 per mile to rent a small vehicle. How many miles can you travel for $550? Show your work.