Question 1 of 5
Multiple Choice
The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.
The table shows the cost of a ski rental package for a given number of people.
To find the rate of change in the table, we need to look for a pattern or trend in the given information. Specifically, we are looking for a constant change in the cost as the number of people changes.
Start by examining the table and identifying the number of people and the corresponding cost for each row. Once you have identified multiple rows that show a clear, consistent increase or decrease in the cost as the number of people changes, calculate the difference in cost between the two rows.
For example, let's say the cost for 2 people is $40 and the cost for 4 people is $60. The difference in cost ($60 - $40) is $20.
Next, determine the difference in the number of people between the two rows. In this example, the difference in the number of people is 4 - 2 = 2.
Finally, divide the difference in cost by the difference in the number of people to find the rate of change. In our example, $20 divided by 2 equals a rate of change of $10 per person.
Now, let's discuss what the rate of change means for the situation. In this case, the rate of change represents the increase in cost for each additional person added to the ski rental package. It tells us that for every additional person, the cost of the rental package increases by $10. This information can be useful when budgeting or planning for ski trips with different group sizes.