A political rally is organized by a group of 100 people. In addition to this core group, a number of buses bring people from outlying areas to attend to the rally. Each bus has 30 seats, and does not travel unless it is full. The number of people at the rally can be expressed by the function
,
where c is the number of buses.
Which is the dependent quantity in this functional relationship?
Boris took
hour to ride his bicycle from home to work. He rode an average of 15 miles per hour on a bike path until he got to the downtown area, where traffic slowed him down to 3 miles per hour.
If x is the number of hours Boris rode on the bike path, which equation can be used to find y, the number of miles from his home to his workplace?
At a snack shop, Rhonda wants to sell a trail mix using x pounds of assorted nuts and y pounds of dried berries. The assorted nuts sell for $4.50 per pound and the dried berries sell for $6.00 per pound. If she wants to make 50 pounds of the mixture and sell it for $5.50 per pound, which system of equations can she use to find the number of pounds of each ingredient to use?