The Cost of the Juice Bottles

Oct 13, 2025 by talynt.org 137 views

Jamal bought snacks for his team's practice, and we need to find an equation that represents the total cost of his purchase. The problem involves a bag of apples and an 8-pack of juice bottles, with a total cost before tax of $13.35. We will use the variable x to represent the cost of the 8-pack of juice bottles.

The Cost of the Apples

The cost of the bag of apples is given as $2.87. This is a fixed cost, and we can represent it as a constant in our equation.

The Cost of the Juice Bottles

The cost of the 8-pack of juice bottles is represented by the variable x. We are not given the cost of the juice bottles, so we will use x to represent it in our equation.

The Total Cost Before Tax

The total cost before tax is given as $13.35. This is the sum of the cost of the apples and the cost of the juice bottles. We can represent this as an equation:

2.87 + x = 13.35

Simplifying the Equation

We can simplify the equation by subtracting 2.87 from both sides:

x = 13.35 - 2.87 x = 10.48

The Equation in Standard Form

The equation in standard form is:

x = 10.48

However, we can also represent the equation in the form:

2.87 + x = 13.35

This equation represents the total cost before tax as the sum of the cost of the apples and the cost of the juice bottles.

Conclusion

In this problem, we used the variable x to represent the cost of the 8-pack of juice bottles. We then used the equation 2.87 + x = 13.35 to represent the total cost before tax as the sum of the cost of the apples and the cost of the juice bottles. This equation can be used to find the cost of the juice bottles, which is represented by the variable x.

Equation Representation

The equation 2.87 + x = 13.35 can be used to represent the context of Jamal's snack purchase. This equation is a linear equation, and it can be used to find the cost of the juice bottles.

Mathematical Representation

The equation 2.87 + x = 13.35 can be represented mathematically as:

f(x) = 2.87 + x

where f(x) is the total cost before tax, and x is the cost of the 8-pack of juice bottles.

Graphical Representation

The equation 2.87 + x = 13.35 can be represented graphically as a linear equation. The graph of this equation is a straight line with a slope of 1 and a y-intercept of 2.87.

Real-World Applications

The equation 2.87 + x = 13.35 has real-world applications in finance and economics. It can be used to calculate the total cost of a purchase, including taxes and other fees.

Conclusion

Q: What is the equation that represents Jamal's snack purchase?

A: The equation that represents Jamal's snack purchase is 2.87 + x = 13.35, where x is the cost of the 8-pack of juice bottles.

Q: What is the cost of the bag of apples?

A: The cost of the bag of apples is $2.87.

Q: What is the total cost before tax?

A: The total cost before tax is $13.35.

Q: How can we find the cost of the juice bottles?

A: We can find the cost of the juice bottles by solving the equation 2.87 + x = 13.35 for x. This gives us x = 10.48, which is the cost of the 8-pack of juice bottles.

Q: What is the relationship between the cost of the apples and the cost of the juice bottles?

A: The cost of the apples and the cost of the juice bottles are related by the equation 2.87 + x = 13.35. This equation shows that the total cost before tax is the sum of the cost of the apples and the cost of the juice bottles.

Q: Can we use this equation to calculate the cost of the juice bottles if we know the cost of the apples?

A: Yes, we can use this equation to calculate the cost of the juice bottles if we know the cost of the apples. For example, if the cost of the apples is $2.87 and the total cost before tax is $13.35, we can solve the equation 2.87 + x = 13.35 for x to find the cost of the juice bottles.

Q: What is the significance of the variable x in this equation?

A: The variable x represents the cost of the 8-pack of juice bottles. It is a placeholder for the unknown value that we are trying to find.

Q: Can we use this equation to represent other types of purchases?

A: Yes, we can use this equation to represent other types of purchases. For example, if we know the cost of a product and the total cost before tax, we can use this equation to find the cost of the product.

Q: What are some real-world applications of this equation?

A: Some real-world applications of this equation include calculating the total cost of a purchase, including taxes and other fees, and finding the cost of a product given the total cost before tax.

Q: Can we graph this equation?

A: Yes, we can graph this equation. The graph of this equation is a straight line with a slope of 1 and a y-intercept of 2.87.

Q: What is the slope of this equation?

A: The slope of this equation is 1. This means that for every unit increase in the cost of the juice bottles, the total cost before tax increases by 1 unit.

Q: What is the y-intercept of this equation?

A: The y-intercept of this equation is 2.87. This means that when the cost of the juice bottles is 0, the total cost before tax is $2.87.

Q: Can we use this equation to solve for the cost of the apples?

A: Yes, we can use this equation to solve for the cost of the apples. If we know the total cost before tax and the cost of the juice bottles, we can solve the equation 2.87 + x = 13.35 for 2.87 to find the cost of the apples.