Question

19. Suppose Misty purchased the 10-Day Ticket Package that

Answer 1

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

$y=mx+b$

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

$m=\ 20\ per\ day$

The y-intercept is equal to

$b=\ 80$

substitute

$y=20x+80$

Complete the table

Find the value of y for each value of x

For x=0 day

$y=20(0)+80=\ 80$

For x=1 day

$y=20(1)+80=\ 100$

For x=2 days

$y=20(2)+80=\ 120$

For x=3 days

$y=20(3)+80=\ 140$

For x=4 days

$y=20(4)+80=\ 160$

For x=5 days

$y=20(5)+80=\ 180$

For x=6 days

$y=20(6)+80=\ 200$

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

$y=20x+80$

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)