Riley is training to run in a 5-kilometer road race. She would like to reduce her race time by 15 seconds each month that she trains.

The race is in 3 months. What is the total change in time that Riley

hopes to achieve?

1. What integer represents the change in race time Riley wants to

achieve each month?

2. What integer represents the number of months she will train?

3. Write a multiplication expression that can be used to find the total

change in time.

4. Complete the number line to find the product.

-15

--50-45-40-35-30-25-20-15 -10 -5

0

5. What is the total change in race time that Riley hopes to achieve?

Explain what this change represents in the situation.

1. -15

2. 3

3. -15 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

A)there is a strong positive correlation

B)A function that best fits the data is

C)Slope indicates the rate of change of Number of products per employee

y intercept indicates number of products when number of employees are 0

Step-by-step explanation:

Number of employees (x) 0  25  50  75  100  125  150  175  200

Number of products (y)   10 160 310 460 610 760 910 1060 1210

Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly?

Mean of x values =

Mean of y values =

N =No. of observations= 9

R Calculation

So, there is a strong positive correlation

B: Write a function that best fits the data.

Regression Equation = ŷ = bx + a

So, a function that best fits the data is

C)What does the slope and y-intercept of the plot indicate?

Slope indicates the rate of change of Number of products per employee

y-intercept indicates the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

So, y intercept indicates number of products when number of employees are 0 .