Question

Determine whether each ratio or rate is proportional. Explain your reasoning and write the proportion.#1) $18 for 3 bracelets; $30 for 5 bracelets#2) 120 calories in 2 servings; 360 calories in 6 servings

Answer 1

`\begin{gathered} 1)proportion\colon\text{ }(18)/(3)\text{ = }(30)/(5) \\ 2)\text{ proportion: }(120)/(2)=(360)/(6) \end{gathered}`

Step-by-step explanation:
`\begin{gathered} 1)\text{ \$18 for 3 brace let} \\ 1\text{ bracelet will cost = }(18)/(3) \\ 1\text{ bracelet will cost \$6} \\ \\ \text{ \$30 for 5 bracelet} \\ 1\text{ bracelet will cost = }(30)/(5) \\ 1\text{ bracelet will cost }6 \end{gathered}`
`\begin{gathered} \text{ \$18 for 3 bracelt is proportional with \$30 for 5 bracelets.} \\ \text{This is because the cost of one bracelet for both is the same} \\ \text{proportion:} \\ (18)/(3)\text{ = }(30)/(5) \end{gathered}`
`\begin{gathered} 2)\text{ }2\text{ servings contain 120 calories} \\ 1\text{ serving will contain = }(120)/(2) \\ 1\text{ serving will contain 60 calories} \\ \\ 6\text{ servings contain 360 calories} \\ 1\text{ serving will contain = }(360)/(6) \\ 1\text{ serving will contain 6}0\text{ calories} \end{gathered}`
`\begin{gathered} 120\text{ calories in 2 servings is proportional to 360 calories in 6 servings.} \\ \text{This is because 1 serving contain same calories for both. } \\ \text{proportion:} \\ (120)/(2)=\text{ }(360)/(6) \end{gathered}`