Question

Anika is on the crew to set up rides for the state fair.the crew does most of the set up on the day that the fair arrives at the fairgrounds and then continues to work on finishing the set up for about a week to have the rides ready to go in time for the opening of the fair.the scatterplot shows Anika's setup time on different days and the linear model for the data.

A)what what is the equation of the line return in slope intercept form show how you determine the equation.
B) based on the linear model predict how long Anika worked on the set up Crew on The day the fair arrived at the fairgrounds ,day 0 approximately how much did her set up time degrees per day

Answer 1

The line passes points (2, 15) and (6, 10)
Equation of the line (y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
(y - 15)/(x - 2) = (10 - 15)/(6 - 2) = -5 / 3
3(y - 15) = -5(x - 2)
3y - 45 = -5x + 10
3y = -5x + 55
y = -5x/3 + 55/3

b.) On day 0, she worked y = -5(0)/3 + 55/3 = 55/3 = 18 hours 20 mins
Her set up time decreases by 5/3 = 1 hour 40 mins per day