Questions: Drag the correct options to complete each sentence. For the given rate of change, tell which quantity should be represented by x and which should be represented by y. a. 200 gallons per day x represents , and y represents b. 3,000 per month x represents , and y represents gallons months dollars

Drag the correct options to complete each sentence. For the given rate of change, tell which quantity should be represented by x and which should be represented by y. a. 200 gallons per day x represents , and y represents b. 3,000 per month x represents , and y represents gallons months dollars
Transcript text: Drag the correct options to complete each sentence. For the given rate of change, tell which quantity should be represented by $x$ and which should be represented by $y$. a. 200 gallons per day $x$ represents $\square$ , and y represents $\square$ b. $\$ 3,000$ per month $x$ represents $\square$ , and $y$ represents $\square$ gallons $\square$ months dollars
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Solution

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Solution Steps

Step 1: Analyze the first scenario

For the rate of change "200 gallons per day," we need to determine which quantity should be represented by \( x \) and which by \( y \). The rate of change is given in terms of gallons per day, so:

  • \( x \) represents days (the independent variable).
  • \( y \) represents gallons (the dependent variable).
Step 2: Analyze the second scenario

For the rate of change "\$3,000 per month," we need to determine which quantity should be represented by \( x \) and which by \( y \). The rate of change is given in terms of dollars per month, so:

  • \( x \) represents months (the independent variable).
  • \( y \) represents dollars (the dependent variable).

Final Answer

a. \( x \) represents days, and \( y \) represents gallons.
b. \( x \) represents months, and \( y \) represents dollars.

\\(\boxed{\text{a. } x \text{ represents days, and } y \text{ represents gallons; b. } x \text{ represents months, and } y \text{ represents dollars}}\\)

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