In the Math 8 B course, students are introduced to the concept of functions and how they can be used to model real-world situations. One way that functions are used is to describe the relationship between two variables, such as the amount of money spent on groceries and the number of items purchased.
To illustrate this concept, let's consider the following scenario:
Samantha goes to the grocery store and buys 3 bags of apples and 4 bags of oranges. The cost of each bag of apples is $2.50 and the cost of each bag of oranges is $3.00. Let's use a function to represent the total cost of Samantha's grocery bill.
First, we define our variables:
Let x represent the number of bags of apples purchased
Let y represent the number of bags of oranges purchased
Next, we use the information given to create a function:
Total cost = (2.50 * x) + (3.00 * y)
Now, let's plug in the values from Samantha's grocery trip:
x = 3
y = 4
Total cost = (2.50 * 3) + (3.00 * 4)
Total cost = 7.50 + 12.00
Total cost = $19.50
Therefore, the total cost of Samantha's grocery bill is $19.50. This example demonstrates how functions can be used to model real-world situations and calculate specific outcomes. Students in the Math 8 B course will continue to explore functions and their applications throughout the curriculum.
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