Question

the function c(s) gives the number of corn ears a farmer can harvest by planting s number of seeds. each statement below can be represented by an equation. for each statement, drag the equation that has the same meaning as that statement into the spot next to it. after planting 800 seeds, there will be 600 corn ears. there will be e corn ears when 200 seeds are planted. the number of corn ears is 900 when s seeds are planted. equations: c·900 = s, c(200) = e, c(s) = 900, c(600) = 800, c(e) = 200, c(800) = 600

Explanation:

Step1: Understand function notation

In the function \(c(s)\), \(s\) is the input (number of seeds planted) and \(c(s)\) is the output (number of corn ears).

Step2: Match statements with function notation

• For "After planting 800 seeds, there will be 600 corn ears": Here \(s = 800\) (input) and \(c(s)=600\) (output), so the equation is \(c(800)=600\).
• For "There will be \(e\) corn ears when 200 seeds are planted": Here \(s = 200\) (input) and \(c(s)=e\) (output), so the equation is \(c(200)=e\).
• For "The number of corn ears is 900 when \(s\) seeds are planted": Here \(c(s)=900\) (output), so the equation is \(c(s)=900\).

Answer:

• "After planting 800 seeds, there will be 600 corn ears" → \(c(800) = 600\)
• "There will be \(e\) corn ears when 200 seeds are planted" → \(c(200)=e\)
• "The number of corn ears is 900 when \(s\) seeds are planted" → \(c(s)=900\)