Question

drag numbers to the table so it shows a proportional relationship between x and y. 5.6 16 12.8 8.8 64 6.4 x y 0.8 4 3.2 drag and drop an item here drag and drop an item here drag and drop an item here

Explanation:

Step1: Find the proportionality constant

First, calculate the ratio of $y$ to $x$ using the given values:
$\frac{y}{x} = \frac{4}{0.8} = 5$
This means $y = 5x$.

Step2: Calculate y for x=3.2

Use the proportionality rule $y=5x$:
$y = 5 \times 3.2 = 16$

Step3: Find a valid x-y pair

We can choose another x value from the remaining numbers, solve for y, or pick a y value and solve for x. For example, if we take $y=6.4$, solve for $x$:
$x = \frac{y}{5} = \frac{6.4}{5} = 1.28$ (not in the list), so instead use $x=1.28$ is not an option, so take $y=12.8$: $x=\frac{12.8}{5}=2.56$ (not in list). Alternatively, take $y=5.6$: $x=\frac{5.6}{5}=1.12$ (not in list). Take $y=8.8$: $x=\frac{8.8}{5}=1.76$ (not in list). Take $y=64$: $x=\frac{64}{5}=12.8$ (12.8 is in the list). So the pair $(12.8, 64)$ works, since $5 \times 12.8 = 64$.

Answer:

$x$	$y$
3.2	16
12.8	64

(Other valid pairs could also be used, e.g., if we chose $x=1.76$, $y=8.8$, but 1.76 is not provided, so the above is the correct set using the available numbers.)