Question

Membership to a national running club is shown in the table. Which answer describes the average rate of change from Year 3 to Year 5? Year: 1, 2, 3, 4, 5 Members(thousands): 87.5, 88.3, 96.8, 87.2, 83.6

answers:
Membership decreased by an average of 6,600 people per year from Year 3 to Year 5.
Membership increased by an average of 13,200 people per year from Year 3 to Year 5.
Membership decreased by an average of 13,200 people per year from Year 3 to Year 5.
Membership increased by an average of 6,600 people per year from Year 3 to Year 5.

Answer 1

Membership decreased by an average of 6,600 people per year from Year 3 to Year 5.

Step-by-step explanation:

Answer 2

Membership decreased by an average of 6,600 people per year from Year 3 to Year 5

Step-by-step explanation:

The average rate of change from Year 3 to Year 5 will be given by the slope of the line joining the points;

(3, 96.8) and (5, 83.6)

The slope of a line given two points is calculated as;

( change in y)/( change in x)

In this case y is the number of members for a given year x.

average rate of change = (83.6-96.8)/(5-3)

= -6.6

Since the number of members is given in thousands, we have;

-6,600

The negative sign implies a decrease in the number of members. Therefore, membership decreased by an average of 6,600 people per year from Year 3 to Year 5