Let's say you're at a candy store buying some candy bars that are on sale for 25 cents each. If you buy one candy bar, you pay [tex]$0.25. If you buy two candy bars, you pay $[/tex]0.50, etc.

How much do you pay if you buy three candy bars, six candy bars, or ten candy bars? How would you describe the relationship between the number of candy bars and the total cost?



Answer :

Certainly! Let's break this down step by step:

1. Understanding the Cost per Candy Bar:
Each candy bar costs [tex]$0.25. 2. Calculating the Total Cost for Different Numbers of Candy Bars: - For 3 Candy Bars: - To find the total cost for 3 candy bars, you multiply the number of candy bars (3) by the cost per candy bar ($[/tex]0.25).
- [tex]\[ \text{Total Cost for 3 Candy Bars} = 3 \times 0.25 = \$0.75 \][/tex]

- For 6 Candy Bars:
- To calculate the total cost for 6 candy bars, multiply the number of candy bars (6) by the cost per candy bar ([tex]$0.25). - \[ \text{Total Cost for 6 Candy Bars} = 6 \times 0.25 = \$[/tex]1.50
\]

- For 10 Candy Bars:
- To find the total cost for 10 candy bars, multiply the number of candy bars (10) by the cost per candy bar ([tex]$0.25). - \[ \text{Total Cost for 10 Candy Bars} = 10 \times 0.25 = \$[/tex]2.50
\]

3. Summary of Total Costs:
- The total cost for 3 candy bars is [tex]$0.75. - The total cost for 6 candy bars is $[/tex]1.50.
- The total cost for 10 candy bars is [tex]$2.50. 4. Describing the Relationship: - The relationship between the number of candy bars and the total cost is linear. - This means that as you increase the number of candy bars, the total cost increases proportionally. - If you double the number of candy bars, the total cost will also double. For example, if you go from buying 3 candy bars to buying 6 candy bars, the total cost exactly doubles from $[/tex]0.75 to [tex]$1.50. Similarly, going from 6 to 10 candy bars shows a proportional increase. In summary, the cost for 3, 6, and 10 candy bars are $[/tex]0.75, [tex]$1.50, and $[/tex]2.50 respectively. The cost increases proportionally with the number of candy bars you purchase, demonstrating a linear relationship.