Question

For the table to the​ right, represent the relationship using​ words, an​ equation, and a graph. Then determine whether the relationship is a linear function.


X,0,1,2,3


y,5,8,11,14



Question content area bottom
Part 1
Represent the relationship using words. Choose the correct answer below.
A.
The value of y is
nine
less than the quantity
ten times the value of x.
B.
The value of y is the
square of the quantity
ten
plus the value of x.
C.
The value of y is
two times the value of x.
D.
The value of y is the
cube of the quantity
one
minus the value of x.
E.
The value of y is
five
more than the quantity
three times the value of x.
Your answer is correct.
F.
The value of y is
six
less than the
square of the quantity
three times the value of x.
Part 2
Represent the relationship using an equation.
y
=
enter your response here
​(Simplify your answer. Type an expression using x as the​ variable.)

Answer 1

Is the relationship a linear​ function?
Yes
No

Answer 2

The relationship can be represented using the equation:

y = 3x + 5

Part 3
Represent the relationship using a graph.

The graph would be a straight line that starts at the point (0, 5) and has a slope of 3. The x values would be plotted on the x-axis and the corresponding y values would be plotted on the y-axis.

Answer 3

Yes, the relationship is a linear function because it can be represented by a straight line.