Answer:
[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]
Step-by-step explanation:
24 kernels in 10 minutes
In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]
let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form
[tex]\dfrac{x12}{x5}[/tex]
So, when [tex]x = 6[/tex] we get
[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]
[tex]x[/tex] can be any real number
[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]
[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]
Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].
