Graphing Linear Equations Unit Test 10 of 1510 of 15 Items Question Use the table to answer the question. ($) Cost of Candy Bar 1 Quantity ($) Cost 1 1.25 2 2.50 3 3.75 4 5.00 5 6.25 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=x . Which candy bar is the cheapest cost per bar? Enter 1 for Candy Bar 1. Enter 2 for Candy Bar 2.
To find the cheapest cost per bar, we need to compare the ratios of cost to quantity for each candy bar.
For Candy Bar 1, the cost per bar is calculated by dividing the cost by the quantity:
Cost per bar = Cost / Quantity
For example, for Candy Bar 1 with a cost of 1.25 and a quantity of 1:
Cost per bar = 1.25 / 1 = 1.25
For Candy Bar 2, the cost per bar is also calculated by dividing the cost by the quantity:
Cost per bar = Cost / Quantity
However, since the equation y=x represents a proportional relationship, the cost and quantity will be the same for Candy Bar 2.
So, for Candy Bar 2, the cost per bar is:
Cost per bar = Cost / Quantity
For example, for Candy Bar 2 with a cost of $x and a quantity of x:
Cost per bar = x / x = 1
Comparing the cost per bar for Candy Bar 1 and Candy Bar 2, we get:
Cost per bar for Candy Bar 1 = 1.25
Cost per bar for Candy Bar 2 = 1
Since 1 is smaller than 1.25, Candy Bar 2 has the cheapest cost per bar. Therefore, the correct answer is 2 for Candy Bar 2.