QuestionA grocery store charges per milk jug and per grocery bag. You never buy the bags because you bring your own.
Is the total price you pay proportional to the number of milk jugs you buy?
Choose 1 answer:
(A) Yes
(B) No
Studdy Solution
STEP 1
What is this asking? Is the amount you pay directly related to how many milk jugs you buy? Watch out! Don't forget that you don't pay for bags!
STEP 2
1. Define the relationship
2. Analyze the proportionality
STEP 3
Alright, let's **define the function** that describes the total cost based on the number of milk jugs.
Since each jug costs and you don't pay for bags, we can say that the **total cost** is given by:
where is the **number of milk jugs** you buy.
STEP 4
Now, let's **analyze the proportionality**.
A relationship is proportional if you can multiply the input by a constant to get the output.
In our case, the input is the number of milk jugs , and the output is the total cost .
STEP 5
Since the equation is a simple multiplication of by a constant (), this means the total cost is directly proportional to the number of milk jugs.
The constant of proportionality here is **3.02**.
STEP 6
The total price you pay is proportional to the number of milk jugs you buy.
So, the answer is **(A) Yes**.
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