Question

2
the table below shows the amount of rainfall in maryville
during each week in april. what was the total amount of
rainfall in the month of april?
week | rainfall (in.)
1 | $2\frac{2}{3}$
2 | $\frac{1}{8}$
3 | $1\frac{3}{4}$
4 | $\frac{1}{2}$
f. $3\frac{15}{24}$
g. $4\frac{4}{17}$
h. $5\frac{1}{24}$
j. $5\frac{20}{24}$

4
the graph shows the depth of water in a fountain over
several days. what is the slope and what does it represent?
a $-3$; the amount of water in the fountain decreases 3
cm each day.
b $-1$; the amount of water in the fountain decreases 1
cm each day.
c $1$; the amount of water in the fountain increases 1
cm each day.
d $3$; the amount of water in the fountain increases 3
cm each day

Explanation:

Question 2

Step1: Convert to improper fractions

$2\frac{2}{3}=\frac{8}{3}$, $1\frac{3}{4}=\frac{7}{4}$

Step2: Find common denominator (24)

$\frac{8}{3}=\frac{64}{24}$, $\frac{1}{8}=\frac{3}{24}$, $\frac{7}{4}=\frac{42}{24}$, $\frac{1}{2}=\frac{12}{24}$

Step3: Sum all fractions

$\frac{64}{24}+\frac{3}{24}+\frac{42}{24}+\frac{12}{24}=\frac{64+3+42+12}{24}=\frac{121}{24}$

Step4: Convert to mixed number

$\frac{121}{24}=5\frac{1}{24}$

Step1: Identify two points

Use $(0,24)$ and $(8,0)$

Step2: Calculate slope

$\text{slope}=\frac{0-24}{8-0}=\frac{-24}{8}=-3$

Step3: Interpret slope

Negative slope means depth decreases by 3 cm/day.

Answer:

H. $5\frac{1}{24}$

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Question 4