Question

Gilded Gifts Company hires employees to make handmade greeting cards. The manager is determining how the time spent training new employees affects their production of greeting cards. The scatter plot below shows how many greeting cards each employee made the past month and the number of hours of training the employee received. A line of best fit is drawn.

Complete the statements based on the scatter plot.

The slope of the line of best fit is
. This means that for every additional hour of training,
more greeting cards are expected to be made per month.

Without any training, an employee is expected to make
greeting cards per month.

If an employee has 70 hours of training, the employee is expected to make
greeting cards per month.

Answer 1

I think its A

Explanation:

a. The equation of the trend line is c=5x+100.

b. The equation of the trend line is c=-5x+100.

c. As the hours of training increase by 5, the greeting cards made increases by 25.

d. As the hours of training increase by 5, the greeting cards made decreases by 25.

Answer 2

The slope of the line of best fit is 5.

Without any training, an employee is expected to make 100 greeting cards.

If an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.

Explanation:

First, find the slope of the line of best fit by substituting any two points on the line into the slope formula. The following calculation uses (10,150) and (20,200).

So, the slope of the line of best fit is 5.

The y-intercept is the point at which the line crosses the y-axis or when x = 0. So, the y-intercept of the line of best fit is 100.

The equation of the line of best fit can be represented in slope-intercept form, where the slope, m, is 5 and the y-intercept, b, is 100.

A slope of 5 in this situation means that for every additional hour of training, 5 more greeting cards are expected to be made per month. The y-intercept is 100 when the number of hours of training is 0. So, without any training, an employee is expected to make 100 greeting cards.

To find the number of greeting cards an employee would produce after receiving 70 hours of training, substitute x = 70 into the equation for the line of best fit and solve for y.

So, if an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.