Question

assessment practice

1. higher order thinking a car is traveling 25 miles per hour. what is the cars speed in feet per second? use the conversion factors $\frac{5,280\text{ feet}}{1\text{ mile}}$ and $\frac{1\text{ hour}}{3,600\text{ seconds}}$.
2. brian pole-vaulted over a bar that was 189 inches high. how many inches higher must he vault to go over a bar that is 16 feet high?
3. select all the conversions that are true.

$square$ $4\text{ pt}=1\text{ gal}$
$square$ $8\text{ pt}=1\text{ gal}$
$square$ $1.5\text{ gal}=6\text{ qt}$
$square$ $1\frac{1}{2}\text{ gal}=8\text{ pt}$
$square$ $1.5\text{ gal}=24\text{ c}$
customary units
capacity
$1\text{ tbsp}=3\text{ tsp}$
$1\text{ fl oz}=2\text{ tbsp}$
$1\text{ c}=8\text{ fl oz}$
$1\text{ pt}=2\text{ c}$
$1\text{ qt}=2\text{ pt}$
$1\text{ gal}=4\text{ qt}$

Explanation:

(Problem 23):

Step1: Convert miles to feet

$25 \text{ miles} \times \frac{5280 \text{ feet}}{1 \text{ mile}} = 132000 \text{ feet}$

Step2: Convert hours to seconds

$1 \text{ hour} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 3600 \text{ seconds}$

Step3: Calculate speed in ft/s

$\text{Speed} = \frac{132000 \text{ feet}}{3600 \text{ seconds}}$
Simplify: $\frac{132000}{3600} = \frac{110}{3} \approx 36.67$

(Problem 24):

Step1: Convert 16 feet to inches

$16 \text{ feet} \times \frac{12 \text{ inches}}{1 \text{ foot}} = 192 \text{ inches}$

Step2: Find height difference

$192 \text{ inches} - 189 \text{ inches} = 3 \text{ inches}$

(Problem 25):

Step1: Verify 4 pt = 1 gal

$1 \text{ gal} = 4 \text{ qt} = 4 \times 2 \text{ pt} = 8 \text{ pt}$. So $4 \text{ pt}
eq 1 \text{ gal}$ (False)

Step2: Verify 8 pt = 1 gal

$1 \text{ gal} = 4 \text{ qt} = 8 \text{ pt}$ (True)

Step3: Verify 1.5 gal = 6 qt

$1.5 \text{ gal} \times 4 \text{ qt/gal} = 6 \text{ qt}$ (True)

Step4: Verify $1\frac{1}{2}$ gal = 8 pt

$1.5 \text{ gal} = 6 \text{ qt} = 12 \text{ pt}
eq 8 \text{ pt}$ (False)

Step5: Verify 1.5 gal = 24 c

$1.5 \text{ gal} = 6 \text{ qt} = 12 \text{ pt} = 24 \text{ c}$ (True)

Answer:

1. $\frac{110}{3}$ or approximately 36.67 feet per second
2. 3 inches
3. 8 pt = 1 gal, 1.5 gal = 6 qt, 1.5 gal = 24 c