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Sagot :
Simplify the equation first
[tex]\\ \tt\hookrightarrow y=\dfrac{3}{5}x[/tex]
[tex]\\ \tt\hookrightarrow y={0.6}x[/tex]
- m=0.6
Find slopes one by one
#1
[tex]\\ \tt\hookrightarrow m=\dfrac{8-4}{6-3}=\dfrac{4}{3}=1.3[/tex]
#2
[tex]\\ \tt\hookrightarrow m=\dfrac{8-4}{10-5}=\dfrac{4}{5}=0.8[/tex]
#3
[tex]\\ \tt\hookrightarrow m=\dfrac{36-18}{62-31}=\dfrac{18}{31}=0.6[/tex]
Option C is correct
#4
[tex]\\ \tt\hookrightarrow m=\dfrac{22-11}{36-18}=\dfrac{11}{18}=\dfrac{0.6111}=0.7[/tex]
#5
[tex]\\ \tt\hookrightarrow m=\dfrac{14-7}{24-12}=\dfrac{7}{12}=0.5[/tex]
Option E is correct
Answer:
- Option C
- Option E
Step-by-step explanation:
We know that:
- Given equation: y = 3x/5
Let's first convert 3/5 into decimal to avoid confusion.
- y = 3x/5
- => y = 0.6(x)
I will choose the first two points in all the tables. Next, l will use the slope formula to find the slope. Then I will compare the slope with the slope of the given equation. If the statement is false, then it is incorrect. If the statement is true, it is correct. Now, let's verify the slopes of all the options to see which slope is less than 0.6.
________________________________________________
Option A (Verification)
- Slope = 8 - 4/6 - 3
- => Slope = 4/3
- => 4/3 = 1.33333
- => 1.3333 < 0.6
Since the statement is false, this is incorrect.
________________________________________________
Option B (Verification)
- Slope = 8 - 4/10 - 5
- => Slope = 4/5
- => 4/5 = 0.8
- => 0.8 < 0.6
Since the statement is false, this is incorrect.
________________________________________________
Option C (Verification)
- Slope = 36 - 18/62 - 31
- => Slope = 18/31
- => Slope ≈ 0.58
- => 0.58 < 0.6
Since the statement is true, this is correct.
________________________________________________
Option D (Verification)
- Slope = 22 - 11/36 - 18
- => Slope = 11/18
- => Slope ≈ 0.61
- => 0.61 < 0.6
Since the statement is false, this is incorrect.
________________________________________________
Option E (Verification)
- Slope = 14 - 7/24 - 12
- => Slope = 7/12
- => Slope ≈ 0.58
- => 0.58 < 0.6
Since the statement is true, this is correct.
________________________________________________
We can now conclude that Option C and E is correct.
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