Nancie and Suresh are typing.

Question

The rate at which Nancie is typing is represented by the equation y = 35x, where x is the time in minutes and y is the total number of words typed.

The rate at which Suresh is typing is represented by this table.

Select answers from the drop-down menus to correctly complete the statements.

Nancie types at a rate of
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words per minute and Suresh types at a rate of
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words per minute. Nancie's rate is
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Suresh's rate.
Time (min) Total words
0.5 28
3 168
14
784

Answer 1

To solve the question, we first need to establish the typing rates of both Nancie and Suresh.

Nancie's Typing Rate

From the equation given for Nancie's typing rate, \(y = 35x\):

• Here, \(y\) represents total words typed and \(x\) is the time in minutes.
• The coefficient 35 indicates that Nancie types at a rate of 35 words per minute.

Suresh's Typing Rate

We can derive Suresh's rate from the data provided in the table:

1. At 0.5 minutes:

   • Total words = 28
   • Words per minute = \( \frac{28 \text{ words}}{0.5 \text{ minutes}} = 56 \text{ words per minute} \)

2. At 3 minutes:

   • Total words = 168
   • Words per minute = \( \frac{168 \text{ words}}{3 \text{ minutes}} = 56 \text{ words per minute} \)

3. At 14 minutes:

   • We need to find the total words typed.
   • Since the rate is consistent, we can use the previously found rate for Suresh:
   • Total words = \( 56 \text{ words per minute} \times 14 \text{ minutes} = 784 \text{ words} \)

Final Answers

Now we can fill in the answers:

• Nancie types at a rate of 35 words per minute and Suresh types at a rate of 56 words per minute. Nancie's rate is less than Suresh's rate.

So the completed statements are:

Nancie types at a rate of 35 words per minute and Suresh types at a rate of 56 words per minute. Nancie's rate is less than Suresh's rate.