Texas Go Math Grade 8 Module 3 Quiz Answer Key

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Texas Go Math Grade 8 Module 3 Quiz Answer Key

Texas Go Math Grade 8 Module 3 Ready to Go On? Answer Key

3.1 Representing Proportional Relationships

Question 1.
Find the constant of proportionality for the table of values.
Texas Go Math Grade 8 Module 3 Quiz Answer Key 1
Answer:
\(\frac{3}{2}\) = 1.5
\(\frac{4.5}{3}\) = \(\frac{3}{2}\) = 1.5
\(\frac{6}{4}\) = \(\frac{3}{2}\) = 1.5
\(\frac{7.5}{5}\) = \(\frac{3}{2}\) = 1.5
Therefore the constant of proportionality is 1.5
The constant of proportionality is 1.5.

Grade 8 Math Module Answer Key Quiz Answers Question 2.
Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours. Find the constant of proportionality and write an equation to describe the situation.
Answer:
Let’s first find the tabLe of the given situation:
Texas Go Math Grade 8 Module 3 Quiz Answer Key 8

The constant of proportionality is 12.5
An equation to describe the situation is y = 12.5x where y is the distance and æ the time.
\(\frac{25}{2}\) = 12.5
\(\frac{37.5}{3}\) = \(\frac{25}{2}\) = 12.5
\(\frac{50}{4}\) = \(\frac{25}{2}\) = 12.5
The constant of proportionality is 12.5.
An equation to describe the situation is y = 12.5x where y is the distance and x the time

Constant of proportionality is 12.5, and the equation y = 12.5x

3.2 Rate of Change and Slope

Find the slope of each tine.

Question 3.
Texas Go Math Grade 8 Module 3 Quiz Answer Key 2
Answer:
We choose two points on the line and we find the change in y-values and the change in x-values as we move from
one point to the other.
rise = +3, since we move up
run = +1, since we move right
Therefore,
slope = \(\frac{+3}{+1}\)
Texas Go Math Grade 8 Module 3 Quiz Answer Key 9
slope = 3

Grade 8 Math Module 3 Quiz Answer Key Question 4.