Saturday

October 25, 2014

October 25, 2014

Posted by **sarah** on Thursday, March 7, 2013 at 10:29pm.

Sensible Sally has a job that is 35 miles from her home. She needs to be at work by 8:15 a.m. Sally wants to maximize her sleep time by leaving as late as possible but still get to work on time. From experimentations, Sally discovered that if she left at 7:10, it would take her 40 minutes to get to work. If she leaves at 7:30, it will take her 60 minutes to get work. If she leaves at 7:40, it will take her 50 minutes to get to work. Since her commute time increases and then decreases, Sally decides to use a parabola to model her commute. Assume the time it takes to get to work varies quadratically with the number of minutes after 7:00 that Sally leaves.

a. If x = the number of minutes after 7:00 that Sally leaves, and y = the number of minutes it takes Sally to get work, what three ordered pairs can you determine from the problem?

b. Use the three points from part (a) to find the equation of a parabola in standard form that can be used to model Sally's commute.

c. Will Sally make it to work on time if she leaves at 7:20?

i dont know B i keep on trying it but it doesnt work out

**Answer this Question**

**Related Questions**

Physics - Sally Skier skiis down a rough ice covered 10.0 m high incline into a ...

Psychology - Susie, Sally, and Serena are roommates. Susie and Sally are neat ...

Law - Dr. Bod is operating on Sally, a minor, when he discovers a previously ...

physics - Tom has a mass of 69.0 kg and Sally has a mass of 54.0 kg. Tom and ...

Psychology - Susie, Sally, and Serena are roommates. Susie and Sally are neat ...

Math - Sally drives a car forty two miles and used 5 gallons of gas. How many ...

science - sally had 20g of water and it started at a temperature of 26 degrees ...

Math - It is 3 miles from Sally's home to school. How many feet is that?

joe has a mass of 50 kg and sally has a madphysics - joe has a mass of 50 kg and...

physics - Sally has a mass of 58.0 kg and Earth has a mass of 5.98 1024 kg. The ...