Jason and Quan share a bicycle. Jason rides for an agreed-upon distance and then locks up the bike for Quan, who has been walking. Meanwhile, Jason walks on ahead. The friends alternate walking and riding. If both boys walk at a rate of 4 mph and ride at a rate of 12 mph, what part of the time has the bike been locked up when Jason and Quan meet again?

Q: Ally and Brett decide to go jogging along a two-mile straight path at a nearby park. Ally starts…

A: Given that Ally and Brett decide to go jogging along a two mile straight path at a nearby park.…

Q: Two families attend a performance of the Circus Mage. The cost of a ticket for adult is 1.5 times…

A:

Q: Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from…

A: Let us consider the above diagram - Let Jack is at point A and Diane is at point B. Given that after…

Q: Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The…

A: Given that out of two sibling the older sibling , the older sibling can  run at a constant speed of…

Q: Two cyclists leave a park and ride in opposite directions, one averaging 6 mph and the other 9 mph.…

A: Given, two cyclist rides in opposite directions, one average speed 6 mph and other average speed 9…

Q: Suppose that Mario owns a company that rents moving vans. Mario’s customers pay $22$22 per day to…

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Q: Suppose you are going on a trip and need to choose between two car rental companies. Company 1…

A: topic - linear function

Q: Each day, Ed walks past a rectangular athletic field on his way home from school. If the field is…

A:

Q: When they work together Samir and Lorraine can deliver flyers to all the homes in their…

A: Given information : When they work together Samir and Lorraine can deliver flyers to all the homes…

Q: The phones at Affordable Cellphones vary in price depending upon demand. The average flip phone has…

A: Just list out the given conditions and then create a quadratic equation using those conditions and…

Q: Triplets Peter, Reeta and Nikita have two for getting home from school each day: cycle on a tandem…

A:

Q: Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial…

A: Let 'm' be the number of miles driven Lets 'c' be the cost of each plan The first plan has an…

Q: Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two…

A:

Q: Disappointed about the cancelling of the Rocton World's Fair, Grace and Evelyn have decided to go on…

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Q: Write the complete solution to the given problems. Use one variable only. Debbie drives 5 meters…

A: Let speed of Richard is 'x' mpsThen speed of debbie is 'x+5' mpsAlso given that distance between…

Q: Santa and Mrs. Claus were given the same number of dollars by the elves. Santa earned money doing…

A:

Q: The cost of phone plan Q is $10 per month plus &0.14 per minute.phone plan R costs $7 per month plus…

A: Let x  denotes the number of minutes. Then cost of plan Q is  Qx=10+0.14x ⇒Q70=10+0.1470⇒Q70=19.8…

Q: Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much…

A: There are two person Bessy and Bob. Consider the amount of money initially that Bob has x (in…

Q: A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first…

A:

Q: Bill and Ian have tasks of mowing grass in their yard. One day they do their work at the same time.…

A:

Q: A cyclist takes half the cyclist's average speed for the second hour, and the cyclist's average…

A: A cyclist take 4 hours to travel from town A to town B.  Let the cyclist's speed in first hour be x.

Q: Cell phone plan A is per month, and you $30 have to buy a new phone for $800 Cell phone plan B is 80…

A: Cell phone plan A is per month, and you $30 have to buy a new phone for $800 Cell phone plan B is 80…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.