Question

Nicole wants to join a fitness club. The graph below shows how the cost of joining Pump-It-Up Fitness depends on the number of days you attend the fitness club.

y:0,10,20,30,40,50,60,70,80
x:0, 5,10,15,20,25,30

The initial cost to join is
, and the rate of change is
for every day you attend the fitness club.

Answer 1

this is the graph

y:0,10,20,30,40,50,60,70,80
x:0, 5,10,15,20,25,30

Answer 2

what the rate of change if u attend everyday

Answer 3

The question is incomplete and does not provide the values for the initial cost and the rate of change.

Answer 4

Thank you for providing the graph. From the given data points, we can determine the initial cost and rate of change.

Let's plot the data points on a graph:

x-axis (Number of days attended): 0, 5, 10, 15, 20, 25, 30
y-axis (Cost of joining): 0, 10, 20, 30, 40, 50, 60, 70, 80

The graph will have points at (0, 0), (5, 10), (10, 20), (15, 30), (20, 40), (25, 50), and (30, 60), representing the relationship between the number of days attended and the cost of joining.

To determine the initial cost, we look at the point (0, 0), where x = 0 and y = 0. Therefore, the initial cost to join is 0.

To find the rate of change, we can calculate the slope between any two points. Let's take the points (0, 0) and (30, 60).

Slope = (Change in y) / (Change in x)
= (60 - 0) / (30 - 0)
= 60 / 30
= 2

Therefore, the rate of change is 2.

Answer 5

To determine the rate of change if you attend the fitness club every day, we need to find the slope between two consecutive points on the graph.

Let's consider the points (0, 0) and (5, 10), where x = 0, y = 0, and x = 5, y = 10.

Slope = (Change in y) / (Change in x)
= (10 - 0) / (5 - 0)
= 10 / 5
= 2

Therefore, if you attend the fitness club every day, the rate of change is 2.