Martha and Bill are out kayaking. The both put in at a point on the south shore of a large lake, but Martha gets a 30 minute head start. Martha paddles northeast at a rate of 2.5 miles per hour. Bill paddles northwest at a rate of 3.5 miles per hour. How fast is the distance between them changing when Martha has been paddling for 1.5 hours?

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: the shore to the child. Martina runs along the shore for a while and then jumps into the water and…

A: To determine how far along the shore Martina should run before jumping into the water, we need to…

Q: Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots.…

A: We have to find the rate of change of distance between two ships at 5 pm.

Q: An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in…

A: We can find the answer in the below steps.

Q: Snow is falling steadily in Syracuse, NY. After 2 hours, 4 inches of snow has fallen. If it…

A: It is given that in 2 hours 4 inches of snow has fallen.

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

A:

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: A boat travels at a constant speed on a river whose current also has a constant speed. The boat can…

A: Let the speed of boat be  X and speed of current be Y.

Q: Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus…

A: Given that distance between the cites is 380 miles.Rate at which the bus travels is 76 miles per…

Q: Evan starts out on a snowmobile trail and travels at 35 km/h. Bonnie leaves 10 min later, travelling…

A:

Q: Charlie's boat travels at a steady 6mph in still water but he is currently traveling up the…

A: Speed of boat in still water = 6 mph Speed of river current = 2.5 mph

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.