Use the given table to answer the question

The cost of Candy Bar 1 is displayed in the table. The proportional relationship between the cost and quantity for Candy Bar 2 is represented by the equation y=2x. Which candy bar is the cheapest cost per bar?

Given:
quantity:
1,2,3,4,5
Cost:
0.80
1.60
2.40
3.20
4.00

1 answer

To determine which candy bar is the cheapest cost per bar, we'll first analyze the cost for Candy Bar 1 based on the given table and then compare it with the cost for Candy Bar 2 based on the equation provided.

Candy Bar 1

From the table, the cost for different quantities of Candy Bar 1 is:

  • 1 candy bar: $0.80
  • 2 candy bars: $1.60
  • 3 candy bars: $2.40
  • 4 candy bars: $3.20
  • 5 candy bars: $4.00

Now, let's calculate the cost per bar for Candy Bar 1:

  • For 1 bar: \( \frac{0.80}{1} = 0.80 \)
  • For 2 bars: \( \frac{1.60}{2} = 0.80 \)
  • For 3 bars: \( \frac{2.40}{3} = 0.80 \)
  • For 4 bars: \( \frac{3.20}{4} = 0.80 \)
  • For 5 bars: \( \frac{4.00}{5} = 0.80 \)

The cost per bar for Candy Bar 1 is consistently $0.80.

Candy Bar 2

The relationship for Candy Bar 2 is given by the equation \( y = 2x \), where \( x \) is the quantity of candy bars and \( y \) is the total cost.

Now let's calculate the cost for different quantities of Candy Bar 2:

  • For 1 candy bar: \( y = 2(1) = 2.00 \)
  • For 2 candy bars: \( y = 2(2) = 4.00 \)
  • For 3 candy bars: \( y = 2(3) = 6.00 \)
  • For 4 candy bars: \( y = 2(4) = 8.00 \)
  • For 5 candy bars: \( y = 2(5) = 10.00 \)

Now let's calculate the cost per bar for Candy Bar 2:

  • For 1 bar: \( \frac{2.00}{1} = 2.00 \)
  • For 2 bars: \( \frac{4.00}{2} = 2.00 \)
  • For 3 bars: \( \frac{6.00}{3} = 2.00 \)
  • For 4 bars: \( \frac{8.00}{4} = 2.00 \)
  • For 5 bars: \( \frac{10.00}{5} = 2.00 \)

The cost per bar for Candy Bar 2 is consistently $2.00.

Conclusion

After comparing the costs per bar:

  • Candy Bar 1 costs $0.80 per bar.
  • Candy Bar 2 costs $2.00 per bar.

Candy Bar 1 is the cheapest cost per bar.