Question

Options for the first box: inverse and direct Options: 275, 50, 5,000, 13,750 Options for the third box: $275.00, $137.50, $550.00

Answer 1

Answer:

• The proportional situation represents an Inverse Variation

,

• The constant of variation, k = 13750

,

• If all 100 students participate in the fundraiser, each will contribute $137.5

Explanation:

From the given information, we notice that the more students involved in the fundraiser, the less the amount each student needs to contribute.

This is an INVERSE VARIATION

Let s represent the number of students who participated in the fundraiser, and t represents the amount needed to be contributed by each student, we have:

$\begin{gathered} s\propto\frac{1}{t} \\ \\ \Rightarrow s=\frac{k}{t} \\ \\ OR \\ st=k \end{gathered}$

To find k, we use the information that s = 50 when t = 275

So,

$\begin{gathered} k=50\times275 \\ =13750 \end{gathered}$

From the above, we have the formula:

$st=13750$

If 100 students participate in the fundraiser, we have:

$\begin{gathered} 100t=13750 \\ t=\frac{13750}{100}=137.5 \end{gathered}$

Each student needs to contribute $137.5