Answer:
Part a) The table in the attached figure (see the explanation)
Part b) see the explanation
Step-by-step explanation:
Let
y ----> the total cost of Lift Tickets
x ----> the number of days
we know that
The linear equation in slope intercept form is given by
[tex]y=mx+b[/tex]
where
m is the slope or unit rate of the linear equation
b is the initial value or y-intercept pf the linear equation
In this problem we have
The slope is equal to
[tex]m=\$20\ per\ day[/tex]
The y-intercept is equal to
[tex]b=\$80[/tex]
substitute
[tex]y=20x+80[/tex]
Complete the table
Find the value of y for each value of x
For x=0 day
[tex]y=20(0)+80=\$80[/tex]
For x=1 day
[tex]y=20(1)+80=\$100[/tex]
For x=2 days
[tex]y=20(2)+80=\$120[/tex]
For x=3 days
[tex]y=20(3)+80=\$140[/tex]
For x=4 days
[tex]y=20(4)+80=\$160[/tex]
For x=5 days
[tex]y=20(5)+80=\$180[/tex]
For x=6 days
[tex]y=20(6)+80=\$200[/tex]
Part b) Explain how you know the data in the table above is linear
The data in the table is linear, because satisfy the equation of the linear equation
[tex]y=20x+80[/tex]
where
x is the variable independent or input value (the number of days)
y is the variable dependent or output value (the total cost of Lift Tickets)
