Question
Is the relation forms a linear function ?
Use the graph to support your answer.
Hint:
An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. We can check if the graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point. A function is linear if the graph of the function is a straight line.
The correct answer is: function is linear
Step by step solution:
Let us denote the week by x.
Let us denote the number of students by y.
The given table is
x
0
1
2
3
4
5
y
300
250
200
150
100
50
We draw a graph from the above table.
From the graph, we can observe that, the curve drawn is a straight line.
Hence the function is linear.
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
Related Questions to study
Solve 2x-5<5x-22, then graph the solution
Solve 2x-5<5x-22, then graph the solution
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Prove the following statement.
The length of any one median of a triangle is less than half the perimeter of the triangle.
Prove the following statement.
The length of any one median of a triangle is less than half the perimeter of the triangle.
Select the three most common text features
Select the three most common text features
Solve 3.5x+19≥1.5x-7
Solve 3.5x+19≥1.5x-7
Determine whether each graph represents a function ?
An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Determine whether each graph represents a function ?
An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Choose the negative adjectives starting with ' u '
Choose the negative adjectives starting with ' u '
Describe the possible values of x.
Describe the possible values of x.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Identify the common noun in the given sentence
"The mice are afraid of a cat"
Identify the common noun in the given sentence
"The mice are afraid of a cat"
How many solutions does the given system of equations have?
y=x & y=x2
How many solutions does the given system of equations have?
y=x & y=x2
How can you determine whether the relationship between side length and area is a function?
If it is a function, say whether it is linear or non linear function ?
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
How can you determine whether the relationship between side length and area is a function?
If it is a function, say whether it is linear or non linear function ?
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
