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A 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 answer:(A) Yes(B) No
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Q. A 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 answer:(A) Yes(B) No
- Understand Proportionality: To determine if the total price is proportional to the number of milk jugs, we need to understand the concept of proportionality. Proportionality means that as one quantity increases, the other quantity increases at a constant rate. In this case, we are looking at the relationship between the number of milk jugs bought and the total price paid.
- Cost Calculation: Since the price of a milk jug is constant at \\(3\).\(02\) per jug, and you do not buy grocery bags, the only cost you incur is from the milk jugs. This means that if you buy one milk jug, you pay \(\$3.02\); if you buy two milk jugs, you pay \(2\) times \(\$3.02\), and so on.
- Check for Proportionality: To check for proportionality, we can calculate the total cost for different numbers of milk jugs and see if the cost per jug remains constant. Let's calculate the cost for \(1\) jug and for \(2\) jugs.\(\newline\)For \(1\) jug: \times \(\(3\).\(02\)) = \$(\(3\).\(02\))\(\newline\)For \(2\) jugs: \times \$(\(3\).\(02\)) = \$(\(6\).\(04\))
- Check for Proportionality: To check for proportionality, we can calculate the total cost for different numbers of milk jugs and see if the cost per jug remains constant. Let's calculate the cost for \(1\) jug and for \(2\) jugs.\(\newline\)For \(1\) jug: \(1 \times \$(3.02) = \$(3.02)\)\(\newline\)For \(2\) jugs: \(2 \times \$(3.02) = \$(6.04)\)We can see that the total cost doubles as the number of jugs doubles, which means the cost per jug remains constant at \(\$(3.02)\). This indicates that the total price is indeed proportional to the number of milk jugs you buy.
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