Question

12-ounce bottle of orange juice contains 33 grams of sugar. Complete the table to determine the amount of sugar in different sizes of orange juice.

Answer 1

A proportional relationship is a relationship between variables such that the amount of one variable is a multiple of the other variable

A table showing the amount of sugar in different sizes of orange juice is presented as follows;

$\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]$

Reason:

The given parameter are;

12 ounces of orange juice contains 33 grams of sugar

Therefore, we have;

The amount of sugar per ounce of orange juice is given as follows;

$1 \ ounce \ of \ orange \ juice \ contains, \dfrac{33 \ grams }{12 } = 2.75 \, grams \, of \, sugar$

Therefore, there are 2.75 grams of sugar per ounce of orange juice

which gives;

The amount of sugar in different sizes of orange juice, f(x) = 2.75·x

Where x represents the amount of orange juice, and f(x) represents the amount of sugar in the orange juice

A table showing the amount of sugar present in different sizes of orange juice is given as follows;

$\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]$

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