Question

2. 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. ( also find the slope and equation in point slope form)
(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

Explanation:

(a) The equation of the line, written in slope-intercept form, is y = -5x + 20. This can also be written in point slope form as y - 20 = -5 (x - 0). The slope is -5 and this was determined by looking at the trendline on the scatter plot.

(b) Based on the linear model created in Part A, Anika worked for 20 hours on Day 0.

(c) Anika's setup time decreased by approximately 5 hours per day based on the linear model.

Answer 2

(a) The equation of the line, written in slope-intercept form, is y = -5x + 20. This can also be written in point slope form as y - 20 = -5 (x - 0). The slope is -5 and this was determined by looking at the trendline on the scatter plot.

(b) Based on the linear model created in Part A, Anika worked for 20 hours on Day 0.

(c) Anika's setup time decreased by approximately 5 hours per day based on the linear model.