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1. Jessica spent many days at the city park last summer. She noticed that 4 out of every 15 flying insects she saw at the park were butterflies. Number of Insects insects Number of Butterflies butterflies

1 Jessica Spent Many Days At The City Park Last Summer She Noticed That 4 Out Of Every 15 Flying Insects She Saw At The Park Were Butterflies Number Of Insects class=

Sagot :

Let:

x = Number of insects

y(x) = Number of butterflies

k = constant of proportionality

She noticed that 4 out of every 15 flying insects she saw at the park were butterflies, therefore:

[tex]\begin{gathered} y(x)=k\cdot x \\ x=15 \\ y(x)=4 \\ 4=k\cdot15 \\ \text{Solving for k:} \\ k=\frac{4}{15} \end{gathered}[/tex]

Therefore, the function which represents this situation is:

[tex]y(x)=\frac{4}{15}x[/tex]

View image LaiC298214
View image LaiC298214
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