Question

activity 3
tell whether the following scatter - plots show a direct relationship. explain your answer.
model: is this a direct relationship?
answer: no, its not a direct relationship. the amount of snow that falls does not relate to the test scores.

1. is this a direct relationship?
2. is this a direct relationship?

activity 4 - distributed practice
solve.

1. $\frac{1}{4}+\frac{1}{2}$
2. $\frac{2}{3}-\frac{1}{9}$
3. $\frac{1}{6}cdot\frac{3}{2}$
4. $\frac{3}{4}div\frac{4}{5}$
5. $\frac{1}{3}cdot\frac{1}{6}$
6. $\frac{5}{9}div\frac{1}{9}$

Explanation:

Activity 3 - Question 1

Step1: Analyze scatter - plot relationship

The amount of points scored and time spent on homework may not necessarily have a direct causal link. Just because one variable changes doesn't mean the other will change in a directly proportional way. So, no, it's not a direct relationship.

Activity 3 - Question 2

Step1: Analyze scatter - plot relationship

The driving speed and time it takes to get to a destination are inversely related (the faster you drive, the less time it takes), not directly related. So, no, it's not a direct relationship.

Activity 4 - Question 1

Step1: Find a common denominator

The common denominator of 4 and 2 is 4. $\frac{1}{4}+\frac{1}{2}=\frac{1}{4}+\frac{2}{4}$.

Step2: Add the fractions

$\frac{1 + 2}{4}=\frac{3}{4}$

Activity 4 - Question 2

Step1: Find a common denominator

The common denominator of 3 and 9 is 9. $\frac{2}{3}-\frac{1}{9}=\frac{6}{9}-\frac{1}{9}$.

Step2: Subtract the fractions

$\frac{6 - 1}{9}=\frac{5}{9}$

Activity 4 - Question 3

Step1: Multiply the numerators and denominators

$\frac{1}{6}\times\frac{3}{2}=\frac{1\times3}{6\times2}$.

Step2: Simplify the fraction

$\frac{3}{12}=\frac{1}{4}$

Activity 4 - Question 4

Step1: Divide fractions (multiply by the reciprocal)

$\frac{3}{4}\div\frac{4}{5}=\frac{3}{4}\times\frac{5}{4}=\frac{3\times5}{4\times4}=\frac{15}{16}$

Activity 4 - Question 5

Step1: Multiply the numerators and denominators

$\frac{1}{3}\times\frac{1}{6}=\frac{1\times1}{3\times6}=\frac{1}{18}$

Activity 4 - Question 6

Step1: Divide fractions (multiply by the reciprocal)

$\frac{5}{9}\div\frac{1}{9}=\frac{5}{9}\times\frac{9}{1}=\frac{5\times9}{9\times1}=5$

Answer:

Activity 3 - Question 1: No, it's not a direct relationship.
Activity 3 - Question 2: No, it's not a direct relationship.
Activity 4 - Question 1: $\frac{3}{4}$
Activity 4 - Question 2: $\frac{5}{9}$
Activity 4 - Question 3: $\frac{1}{4}$
Activity 4 - Question 4: $\frac{15}{16}$
Activity 4 - Question 5: $\frac{1}{18}$
Activity 4 - Question 6: 5