Part 4: Model a real-world problem using an ellipse. An artist wants to make an elliptical sign out of a rectangular piece of wo
1 answer:
You might be interested in
Answer:
The linear equation is y = 6 x + 9
The graph is attached down
Step-by-step explanation:
The given information:
The cost of 1st km is 9 Rs
The cost of every kilometer after the first is 6 Rs
x represents the number of km
y represents the total cost of x km
The form of the linear equation is
y = m x + b, where
- m is the slope of the line (rate of change)
- b is the y-intercept (initial value)
From the given information above
m = 6 Rs/km
b = 9 Rs
Substitute them in the form of the equation
y = 6 x + 9
The graph:
ANSWERS
(5) Graph:
(6) Solutions: (-1, -5) and (-2, -7)
Not solutions: (1, 1) and (-4, -3)
EXPLANATION
(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.
The first inequality is y < -3x-4,
The second inequality is y < 2x - 1,
The graph of the system is the area shared by both graphs,
(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.
On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions
