Question

Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair

arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides
ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and
the linear model for the data.
Annika’s Setup Time
Time (Days)






(a) What is the equation of the line, written in slope-intercept form? Show how you determined the
equation.
(b) Anika arrived on Day 0. Based on the linear model you created in Part A, predict how long Anika
worked on Day 0.
(c) Approximately how much did her setup time decrease per day?

Answer 1

• Given below.

Explanation:

(a)

coordinates: (8,14), (16,8)

slope:

`(y2-y1)/(x2-x1)`

`(8-14)/(16-8)`

`-(3)/(4)`

equation:

y - y1 = m( x- x1)

y - 14 =
`-(3)/(4)`( x - 8 )

y - 14 =
`-(3)/(4)`x +6

y =
`-(3)/(4)`x + 20

(b)

At day 0, means x will be 0

y =
`-(3)/(4)`(0) + 20

y = 20

(c)

set up time decrease per day is
`-(3)/(4)`