SammyTheFoxidn
Answered

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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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