Hello could you explain to me these practice questions for my math class ?

1 suppose that 650 lb of coffee are sold when the price is $4 per pound, and 400 lb are sold at $8 per pound.

a) list the data point ( use price as the independent variable)

b) find the slope of the line joining the points

c) interpret the meaning of the slope in the context of this problem. Write the interpretation in a complete sentence with proper grammar and correct spelling

d) use the point-slope form to make a linear equation for this data. Write the answer in function notation.

e) Use this function to predict how much consumers would be willing to buy at a price of $6/lb.

2 The University of Texas at Austin has three times as many students enrolled as the University of Miami. The University of California, Berkley has 3,000 more than twice the number of students as the University of Miami.If the three schools have a total enrollment of 96,000 students, what is the enrollment at each school?

a. Describe what the variables represent:

x=

y=

z=

b. Write the system of linear equations:

c. Write the Augmented Matrix for the system of linear equations then solve using the Gauss-Jordan Elimination Method. Show all row operations and at least 5 of the resulting matrices. Use proper notation.Write the solution as an ordered triple, if appropriate.

d. Now, answer the question in a complete sentence with proper grammar and correct spelling:

What is the enrollment at each school?

3 In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20- 0.4x.

a. State the coordinates of the x-intercept.

b. State the coordinates of the y-intercept.

c. State the slope.

d.Graph the linear function for x0.(Label the axes completely!!)

e.Is the learning rate increasing or decreasing? Explain why your answer makes sense in the context of the problem.Use a complete sentence with proper grammar and correct spelling.