Question

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

costs $80 plus $20 per day.
a. Complete the table below for the total cost of the lift
tickets in the 10-day package for 0 through 6 days. Be sure
to include the initial cost of $80.
302
Number of
Days
0
1
2
3
4
5
Total Cost of
Lift Tickets
b. Explain how you know the data in the table above is linear.

Answer 1

Part a) The table in the attached figure (see the explanation)

Part b) see the explanation

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)