1. Suppose that a cyclist began a 532 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 9.5 hr and the car traveled 35.8 mph faster than the bicycle, find the average rate of each.
The car's average rate is
The bicycle's average rate is nothing
2. The point at which a company's costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which C=R C=12x+50,000 and R=17x How many units must be produced and sold in order to break even?
3. The price per unit, p, and the demand, x, for a particular material are related by the linear equation p =140 -7/9x, while the supply is given by the linear equation p=7/9x. At what value of p does supply equal demand?
4. A bicycle travels at a speed of 2 miles per hour for x hours. Find an expression for the distance that the bicycle travels.
5. A baseball team has home games on Friday and Saturday. The two games together earn $4069.00 for the team. Friday's game generates $871 less than Saturday's game. How much money was taken in at each game? Friday? Saturday? Game. How much money was taken in at each game?