Question

calculate unit rates to solve each problem. round answers as needed.

1. sabra read 1,052 words in 16 minutes. nelson read 1,115 words in 20 minutes. who read more words per minute?

unit rate for sabra: ______
unit rate for nelson: ______
______ read more words per minute.

1. stephan can run 3 miles in 15.75 minutes. keisha can run 5 miles in 22.5 minutes. who can run faster?

unit rate for stephan: ______
unit rate for keisha: ______
______ runs faster.

1. natalie went to store a and bought \\(3\frac{4}{5}\\) pounds of pistachios for $17.75. nicholas went to store b and bought \LXI1 pounds of pistachios for $19.50. who got the better deal?

unit rate for natalie: ______
unit rate for nicholas: ______
______ got the better deal.

use the context of each sentence to help you determine the meaning of the underlined word. write the meaning on the line. then, look up the word in a print or online dictionary to double-check the definition.

1. we were hoping that the rain would abate before nickis soccer game.

______

1. mr. gregor reprimanded the entire class for our behavior on the field trip.

______

1. the interviewer was impressed with jamillas poise and confidence.

______

1. the acrid smell of the smoke filled alexis lungs as he ran for the door.

______

Explanation:

Calculate unit rates for Question 1

We find the words read per minute for Sabra and Nelson.
For Sabra:

$$ \frac{1052\text{ words}}{16\text{ minutes}} = 65.75\text{ words per minute} $$

For Nelson:

$$ \frac{1115\text{ words}}{20\text{ minutes}} = 55.75\text{ words per minute} $$

Comparing the rates, Sabra read more words per minute.

Calculate unit rates for Question 2

We find the minutes per mile to see who runs faster (lower time is faster).
For Stephan:

$$ \frac{15.75\text{ minutes}}{3\text{ miles}} = 5.25\text{ minutes per mile} $$

For Keisha:

$$ \frac{22.6\text{ minutes}}{5\text{ miles}} = 4.52\text{ minutes per mile} $$

Comparing the rates, Keisha runs faster because her time per mile is lower.

Calculate unit rates for Question 3

We find the cost per pound for each store (lower cost is a better deal).
For Natalie (Store A):
Natalie bought \(3\frac{3}{4} = 3.75\) pounds for \(\$17.75\).

$$ \frac{\$17.75}{3.75\text{ pounds}} \approx \$4.73\text{ per pound} $$

For Nicholas (Store B):
Nicholas bought \(4\frac{1}{10} = 4.1\) pounds for \(\$19.50\).

$$ \frac{\$19.50}{4.1\text{ pounds}} \approx \$4.76\text{ per pound} $$

Comparing the rates, Natalie got the better deal.

Analyze vocabulary for Questions 4 and 5

For Question 4, "abate" in the context of rain means to lessen, reduce, or stop.
For Question 5, "reprimanded" in the context of a teacher addressing behavior means scolded, lectured, or corrected formally.

Analyze vocabulary for Questions 6 and 7

For Question 6, "poise" in the context of confidence and an interview means composure, self-assurance, or dignified manner.
For Question 7, "acrid" in the context of smoke filling lungs means sharp, pungent, bitter, or irritating to the smell/taste.

Answer:

Question 1

Unit rate for Sabra: <blank>\(65.75\text{ words per minute}\)</blank>
Unit rate for Nelson: <blank>\(55.75\text{ words per minute}\)</blank>
<blank>Sabra</blank> read more words per minute.

Question 2

Unit rate for Stephan: <blank>\(5.25\text{ minutes per mile}\)</blank>
Unit rate for Keisha: <blank>\(4.52\text{ minutes per mile}\)</blank>
<blank>Keisha</blank> runs faster.

Question 3

Unit rate for Natalie: <blank>\(\$4.73\text{ per pound}\)</blank>
Unit rate for Nicholas: <blank>\(\$4.76\text{ per pound}\)</blank>
<blank>Natalie</blank> got the better deal.

Question 4

We were hoping that the rain would <blank>abate (stop, lessen, or diminish)</blank> before Nicki's soccer game.

Question 5

Mr. Gregor <blank>reprimanded (scolded, rebuked, or corrected)</blank> the entire class for our behavior on the field trip.

Question 6

The interviewer was impressed with Jamilla's <blank>poise (composure, grace, or self-possession)</blank> and confidence.

Question 7

The <blank>acrid (bitter, harsh, or pungent)</blank> smell of the smoke filled Alexi's lungs as he ran for the door.