Graphing Linear Equations Unit Test

10 of 1810 of 18 Items

Question
Use the table to answer the question.

This table shows the price of Candy Bar A for different quantities purchased.
($) Cost of Candy Bar A
Quantity ($) Cost
1 1.25
2 2.50
3 3.75
4 5.00
5 6.25
The cost of Candy Bar A is displayed in the table. The proportional relationship between the cost and quantity for Candy Bar B is represented by the equation y=x
. Which candy bar is the cheapest cost per bar? Enter 1 for Candy Bar A. Enter 2 for Candy Bar B.

(1 point)
Candy Bar

1 answer

To determine which candy bar is the cheapest cost per bar, we need to calculate the cost per bar for both Candy Bar A and Candy Bar B.

For Candy Bar A:

  • The costs for different quantities are:
    • 1 bar: $1.25
    • 2 bars: $2.50 → $2.50 / 2 = $1.25 per bar
    • 3 bars: $3.75 → $3.75 / 3 = $1.25 per bar
    • 4 bars: $5.00 → $5.00 / 4 = $1.25 per bar
    • 5 bars: $6.25 → $6.25 / 5 = $1.25 per bar

The cost per bar for Candy Bar A is consistently $1.25.

For Candy Bar B:

  • The equation for Candy Bar B is \( y = x \), which means the cost per bar is $1.00 for every bar purchased:
    • 1 bar: $1.00
    • 2 bars: $2.00 → $2.00 / 2 = $1.00 per bar
    • 3 bars: $3.00 → $3.00 / 3 = $1.00 per bar
    • 4 bars: $4.00 → $4.00 / 4 = $1.00 per bar
    • 5 bars: $5.00 → $5.00 / 5 = $1.00 per bar

The cost per bar for Candy Bar B is consistently $1.00.

Comparison:

  • Candy Bar A costs $1.25 per bar.
  • Candy Bar B costs $1.00 per bar.

Conclusion: Candy Bar B is cheaper.

Answer: 2 (Candy Bar B)