Question

The table below shows the amount that must be repaid, y, when x dollars are borrowed.

Amount Borrowed Amount Repaid
$100 $120
$200 $240
$500 $600
$800 $960
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(1 point)
Responses



y=6/5x

y=5/6x

Answer 1

To determine the relationship between the amount borrowed \( x \) and the amount repaid \( y \), we can analyze the data in the table:

For each pair of values:

1. When \( x = 100 \), \( y = 120 \)
2. When \( x = 200 \), \( y = 240 \)
3. When \( x = 500 \), \( y = 600 \)
4. When \( x = 800 \), \( y = 960 \)

We observe that each amount repaid \( y \) is 1.2 times the amount borrowed \( x \):

- \( \frac{y}{x} = \frac{120}{100} = 1.2 \)
- \( \frac{y}{x} = \frac{240}{200} = 1.2 \)
- \( \frac{y}{x} = \frac{600}{500} = 1.2 \)
- \( \frac{y}{x} = \frac{960}{800} = 1.2 \)

This means that \( y = 1.2x \).

To express \( 1.2 \) as a fraction, we can write it as \( \frac{6}{5} \).

Thus, the equation that represents this relationship is:

\[
y = \frac{6}{5}x
\]

So, the correct answer is:

**y = 6/5x**