Is a package of 8 hot dog buns proportional to a package of 10 hot dog franks?
No.
To determine if a package of 8 hot dog buns is proportional to a package of 10 hot dog franks, we need to compare the ratios of the two quantities.
The ratio of hot dog buns to hot dog franks in the first package is 8:1 (8 buns for every 1 frank). The ratio for the second package is 10:1 (10 franks for every 1 bun).
To check if the two ratios are proportional, we can simplify them.
Since 8 and 10 are both multiples of 2, we can divide them both by 2, resulting in the simplified ratio of 4:5 for the first package and 5:1 for the second package.
Now that the ratios are in their simplest form, we can see that the ratios are not the same. Therefore, the package of 8 hot dog buns is not proportional to the package of 10 hot dog franks.