The daily cost of hiring a plumber, y,to work x hours on a repair project can be modeled using the linear function y=55x +75. the plumber charges a fixed cost of $75 plus sn additional cost of 55 per hour. the plumber works a maximum of 50 hours per week. for one week of work what is the domain of the function for this situation

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?