Consider a 100-meter track used for foot races. The time it takes for a runner to run the track can be computed by taking the speed in running the track and applying it to the formulat= 100 since the distance is fixed at 100 meters. 1. Let x represents the speed to run the 100 meters. Represent the time to run the track as a function of the speed. 2. Represent t(x) as a table of values for speed from 5 meters per second to 10 meters per second. 3. Represent as a graph the table of values in #2.

Q: Determine a function using x and y that models the relationship above.   Part B What is the…

A: here use basic of regression line

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: The water depth in a harbor is 18.5 m at high tide and 9.5 m at low tide and one tidal cycle is…

A:

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A: If a customer uses 230 minutes, the monthly cost will be $120.5. If the customer uses 750 minutes,…

Q: Suppose that a phone card has 400 min. Write a relationship that represents the number of minutes…

A: The total number of minute the phone card has 400 minutes. Since x minutes are already used, so find…

Q: By the end of February, Rachel's family had used 7,800 kilowatt hours (kWh) of electricity since…

A: linear equation  y=mx+bb = y intercept or initial value    By the end of February, Rachel's family…

Q: We are to take a piece of paper and fold it in half and record the number of regions it shows. So, I…

A: To find an equation to determine the number of regions, R, as a function of a number of folds.

Q: hose delivering 4.5 gallons per minute is used to fill an empty hot tub that has a

A: we will find the required.

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

A:

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: c. Use function notation to represent the change in Sam's height above the ground over the time…

A: (c) The function notation to determine the change in the "S" height from t=4 to t=10 seconds is,…

Q: You have 600 yards of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Since the length of fencing of a rectangular field is 600 yards, which means that the perimeter of…

Q: A ball is dropped from a height of 40 feet. The function f(x)=40(0.6)xf(x)=40(0.6)x gives the height…

A: This is a problem related to the power function. Here height of the ball at each bounce is given in…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.