The cost of 5 kilograms of almonds is $42.50.
Based on the double number line, we can see that the cost of almonds increases linearly with the number of kilograms purchased. This means that the ratio of the cost to the number of kilograms is constant.
To find the cost of 5 kilograms of almonds, we can use the following proportion:
(Cost of 5 kilograms of almonds) / 5 = (Cost of 4 kilograms of almonds) / 4
Solving for the cost of 5 kilograms of almonds, we get:
(Cost of 5 kilograms of almonds) = 5 * (Cost of 4 kilograms of almonds) / 4
Substituting the cost of 4 kilograms of almonds from the double number line, we get:
(Cost of 5 kilograms of almonds) = 5 * $34 / 4 = $42.50
Therefore, the cost of 5 kilograms of almonds is $42.50.