a baseball team is ordering hats. the graph shows the relationship between the total cost, in dollars, and…
a baseball team is ordering hats. the graph shows the relationship between the total cost, in dollars, and the number of hats ordered. what does the slope of the graph tell us in this situation? a it tells us that there is a fixed cost of approximately $35 for ordering hats. b it tells us the amount that the total cost increases for each additional hat ordered. c it tells us that when 9 hats are ordered, the total cost is approximately $160. d it tells us that when the number of hats ordered increases by 10, the total cost increases by approximately $175.
Answer
Explanation:
Step1: Recall the concept of slope in a cost - quantity graph
In a graph of total cost (y) versus quantity (x) (in this case, number of hats), the slope (m=\frac{\Delta y}{\Delta x}).
Step2: Analyze each option
- Option A: The fixed cost is the (y) - intercept (when (x = 0)), not the slope.
- Option B: The slope (m=\frac{\text{Change in total cost}}{\text{Change in number of hats}}). So, it represents the increase in total cost for each additional hat ordered.
- Option C: This is a point ((x,y)=(9,160)) on the graph, not related to the slope.
- Option D: While (\frac{175}{10}) is a calculation, the general definition of slope is per one unit change in (x) (number of hats), not per 10 units.
Answer:
B. It tells us the amount that the total cost increases for each additional hat ordered.