Question

I WILL MEDAL, UPVOTE, OR WHATEVER IT IS IF SOMEONE CAN GUIDE ME THROUGH 4 QUESTIONS PLEASE

Answer 1

1.The table below shows the outputs y for different inputs x:


Input
(x) 1 1 3 3
Output
(y) 4 2 12 6


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Part B: The total cost f(x), in dollars, for renting a paddle boat for x hours is shown below:

f(x) = 20 + 10x

What is the value of f(120), and what does f(120) represent? (5 points)

Answer 2

2.Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

Answer 3

3.The graph shows the functions f(x), p(x), and g(x):

Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

Answer 4

4.The coordinate plane below represents a city. Points A through F are schools in the city.

Part A: Using the graph above, create a system of inequalities that only contain points A and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A. (3 points)

Part C: William can only attend a school in his designated zone. William's zone is defined by y < −x − 1. Explain how you can identify the schools that William is allowed to attend. (2 points)

Answer 5

That's quite a lot of questions.
I'll give you some hints for a select few
1A) A function has for every input one unique output. If for any one input (x) has more than output (y) it is not a function.
B) If given f(x), f(A) means to replace x with A (i.e. substitute x = A)

3A) The solution of any two graphs p(x) and f(x) is found by their intersection pt (x,y)
B) Solutions to f(x) include any points that lie on f(x)

4A) There are many choices. I would use vertical and horizontal lines to enclose A and E.
For example you could say x > 0 and y < 2. This will ensure only A and E fit the region described as both these pts have x > 0 and y < 2 compared to all other points.

B) Can draw the line and shade region to find pts, or substitute each pt into your inequality.