Question

select the double number line that shows the other values of cherries and cost. choose 1 answer: a: cherries (kg) 0 1 2 3 4, cost (dollars) 0 6 11.5 17 22; b: cherries (kg) 0 1 2 3 4, cost (dollars) 0 5.5 11 16.5 22

Explanation:

Step1: Analyze the relationship

We need to check the proportionality between cherries (kg) and cost (dollars). For a double number line, the cost should increase proportionally with the amount of cherries. Let's check the rate for each option.

Step2: Check Option A

For Option A, when cherries increase by 1 kg (from 0 to 1, 1 to 2, etc.), the cost increases by 6 - 0 = 6, 11.5 - 6 = 5.5, 17 - 11.5 = 5.5, 22 - 17 = 5. The differences are not constant, so it's not proportional.

Step3: Check Option B

For Option B, when cherries increase by 1 kg: 5.5 - 0 = 5.5, 11 - 5.5 = 5.5, 16.5 - 11 = 5.5, 22 - 16.5 = 5.5. The rate is constant (5.5 dollars per kg), so it's proportional.

Answer:

B. Cherries (kg): 0, 1, 2, 3, 4; Cost (dollars): 0, 5.5, 11, 16.5, 22