Question

customers at the gym pay a membership fee to join and then a fee for each class they attend. here is a graph that represents the situation.
cost in dollars
number of classes
a. complete the statement about what the slope of the line shown by the points means in this situation.
the cost of a ▼ select choice ▼ is ▼ select choice ▼ .
b. complete the statement about what the vertical intercept means in this situation.
the cost of a ▼ select choice ▼ is ▼ select choice ▼ .

Explanation:

Step1: Analyze the graph for slope

The graph has two points: when number of classes (x) is 0, cost (y) is 60? Wait, no, looking at the graph, when x=0 (number of classes 0), y=60? Wait, no, the first point (x=0, y=60)? Wait, no, the x-axis is Number of Classes (0 to 8), y-axis is Cost in Dollars (0 to 200). Wait, the first plotted point: when number of classes is 0, cost is 60? Wait, no, maybe (0,60) and then (1,80)? Wait, let's check the coordinates. Let's take two points: (0, 60) and (1, 80)? Wait, no, the first dot is at (0, 60)? Wait, the x-axis is Number of Classes (0,1,2,3,4,5,6,7,8), y-axis is Cost (0,20,40,60,80,100,120,140,160,180,200). Wait, the first dot (x=0, y=60)? Then (x=1, y=80)? (x=2, y=100)? Wait, no, maybe (0,60) and (1,80): slope is (80-60)/(1-0)=20. Wait, or (0,60) and (2,100): (100-60)/(2-0)=20. So slope is 20. So the slope represents the cost per class, which is $20 per class.

Step2: Analyze vertical intercept

The vertical intercept is when x=0 (number of classes=0), y=60. So that's the membership fee (cost when no classes are taken), so the vertical intercept is 60, which is the membership fee.

Part a:

The slope of the line (which is the rate of change) represents the cost per class. So the slope is 20, meaning the cost of a class is $20.

Part b:

The vertical intercept is at (0,60), which is the cost when number of classes is 0, so that's the membership fee. So the vertical intercept is 60, which is the cost of the gym membership (when no classes are taken).

Answer:

a. The slope represents the cost of a class, which is $20 per class.
b. The vertical intercept (when number of classes = 0) is $60, which is the cost of the gym membership (the fee to join, no classes taken).

(Note: Since the exact "Select Choice" options aren't visible, but based on the graph, slope is 20 (cost per class), vertical intercept is 60 (membership fee).)