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A) Given that y = 2x − 1. Complete the table below. b) The average speed of a car is 60km/hr for 30 minutes. Find, distance.

Mathematics

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Answer

b

30 km\text{30 km}

Graph of y = 2x − 1

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Key points of y = 2x − 1
Pointxy
y-intercept0−1
x-intercept0.50

Step-by-step solution

6 steps

Part a· 4 steps

Ili kukamilisha jedwali, tutatumia fomula y=2x−1y = 2x - 1 kwa kila thamani ya xx.

  1. Pata thamani ya yy wakati x=2x = 2.

    y=2(2)−1=4−1=3y = 2(2) - 1 = 4 - 1 = 3
  2. Pata thamani ya yy wakati x=3x = 3.

    y=2(3)−1=6−1=5y = 2(3) - 1 = 6 - 1 = 5
  3. Pata thamani ya yy wakati x=4x = 4.

    y=2(4)−1=8−1=7y = 2(4) - 1 = 8 - 1 = 7
  4. Pata thamani ya yy wakati x=5x = 5.

    y=2(5)−1=10−1=9y = 2(5) - 1 = 10 - 1 = 9

    Jedwali lililokamilika ni:

    x012345y−113579\begin{array}{|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline y & -1 & 1 & 3 & 5 & 7 & 9 \\ \hline \end{array}

Part b

30 km\text{30 km}

Ili kupata umbali, tutatumia fomula ya umbali = kasi ×\times muda.

  1. Badilisha muda kutoka dakika kwenda masaa.

    Kuna dakika 60 katika saa 1.

    Muda=30 dakika=3060 saa=0.5 saa\text{Muda} = 30 \text{ dakika} = \frac{30}{60} \text{ saa} = 0.5 \text{ saa}
  2. Tumia fomula ya umbali.

    Umbali=Kasi×Muda\text{Umbali} = \text{Kasi} \times \text{Muda} Umbali=60 km/saa×0.5 saa\text{Umbali} = 60 \text{ km/saa} \times 0.5 \text{ saa} Umbali=30 km\text{Umbali} = 30 \text{ km}

    Umbali ni 30 km\boxed{\text{30 km}}.

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