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Problem 5

# McKenzie spilled 22 pints of water in 4 days. Avery collected 14 pints of water in 3 days. How many pints did each of them lose or gain per day? Show the values on the number line. cant copy graph

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McKenzie spilled an average of 5.5 pints of water per day, while Avery collected an average of approximately 4.67 pints of water per day. When represented on a number line, McKenzie's rate is plotted between 5 and 6, while Avery's rate is plotted closer to 5 but farther from 4. McKenzie was losing more water per day than Avery was collecting.
See the step by step solution

## Step 1: Compute McKenzie's Rate

Firstly, we calculate how many pints of water McKenzie was losing each day. To do this, divide the total pints of water McKenzie spilled over four days, which is 22 pints, by the number of days, which is 4. This gives us $$\frac{22}{4} = 5.5$$. So, McKenzie spilled an average of 5.5 pints of water each day.

## Step 2: Compute Avery's Rate

Next, calculate how many pints of water Avery was collecting daily. To do this, divide the total pints of water Avery collected in three days, which is 14 pints, by 3. This gives us $$\frac{14}{3} = 4.6\bar{6}$$. So, Avery collected an average of approximately 4.67 pints of water each day.

## Step 3: Representing the Rates on a Number Line

The final step is to represent these daily rates on a number line. Because you're unable to copy a graph, imagine a line where each unit step represents one pint of water. Start from zero and mark the points corresponding to the number of pints McKenzie lost (5.5) and Avery gained (4.67) per day. McKenzie’s value should be plotted between 5 and 6 and Avery's value should be plotted a little farther from 4, closer to 5. Keep in mind that this is a representation, though a precise plot would require a more detailed scale or a tool capable of exact plotting. The aim here is to visually compare the quantities. From such a representation, it can be observed that McKenzie was losing more water per day than Avery was collecting.

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