Graphing Linear Equations Unit Test

Question

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)

Answer 1

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).