Graphing Linear Equations Unit Test

10 of 1510 of 15 Items

Question
Use the table to answer the question.

($) Cost of Candy Bar A
Quantity ($) 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)

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 cost for each quantity is as follows:
    • 1 candy bar: $1.25
    • 2 candy bars: $2.50
    • 3 candy bars: $3.75
    • 4 candy bars: $5.00
    • 5 candy bars: $6.25

The cost per bar for Candy Bar A can be calculated by dividing the total cost by the quantity:

  • For 1 candy bar: $1.25 / 1 = $1.25
  • For 2 candy bars: $2.50 / 2 = $1.25
  • For 3 candy bars: $3.75 / 3 = $1.25
  • For 4 candy bars: $5.00 / 4 = $1.25
  • For 5 candy bars: $6.25 / 5 = $1.25

So, the cost per bar for Candy Bar A is consistently $1.25.

For Candy Bar B:

  • The equation given is \( y = x \), where \( x \) is the quantity of candy bars and \( y \) is the cost. Thus, the cost per bar is:
    • For 1 candy bar: $1.00 / 1 = $1.00
    • For 2 candy bars: $2.00 / 2 = $1.00
    • For 3 candy bars: $3.00 / 3 = $1.00
    • For 4 candy bars: $4.00 / 4 = $1.00
    • For 5 candy bars: $5.00 / 5 = $1.00

So, the cost per bar for Candy Bar B is $1.00.

Comparing the two:

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

Thus, Candy Bar B is cheaper.

The answer is: 2 (for Candy Bar B).

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