Question

1. when kaitlyn went to bed, the temperature was 36°f. when she woke up the next morning, the temperature was -9°f. if + represents a rise in temperature and - represents a drop in temperature, which of the following best illustrates the temperature change from the time kaitlyn went to bed to the time she woke up?

f. -45°f
g. -27°f
h. -12°f
j. 27°f
k. 45°f

1. if boxes of pasta sell at $0.88 per box or 4 boxes for $3.00, how much is saved, to the nearest cent, on each box by buying the boxes 4 at a time?

a. 12¢
b. 13¢
c. 39¢
d. 52¢
e. 53¢

1. hair grows at an average rate of 0.5 inches per month. courtney refused to cut her hair from the time she was 8 years old until she was 20 years old. if courtney’s hair grew at the average rate, approximately how many inches did her hair grow during the time she refused to cut her hair?

f. 4
g. 6
h. 14
j. 72
k. 78

Explanation:

Step1: Calculate temperature change

$\text{Temperature change} = -9^\circ\text{F} - 36^\circ\text{F} = -45^\circ\text{F}$

Step2: Find per-box bulk price

$\text{Bulk price per box} = \frac{\$3.00}{4} = \$0.75$

Step3: Calculate per-box savings

$\text{Savings per box} = \$0.88 - \$0.75 = \$0.13 = 13¢$

Step4: Calculate years of hair growth

$\text{Years of growth} = 20 - 8 = 12 \text{ years}$

Step5: Convert years to months

$\text{Total months} = 12 \times 12 = 144 \text{ months}$

Step6: Calculate total hair growth

$\text{Total growth} = 0.5 \times 144 = 72 \text{ inches}$

Answer:

1. F. $-45^\circ\text{F}$
2. B. 13¢
3. J. 72