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AysviL [449]
3 years ago
9

A bus makes a stop at 2:30, letting off 16 people and letting on 3. The bus makes another stop ten minutes later to let off 2 mo

re people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Mathematics
1 answer:
liq [111]3 years ago
3 0

Answer:

10 people lesser.

Step-by-step explanation:

Initially, it 15 people  get off but 9 people get picked up, hence losing 6 people.  If 4 more people get off, it has then lost 10 people total.

The original number of passengers on the bus decreased by 10 after the second stop

Assume that the total passengers on the bus before 2:30 was x

Now, at 2:30:

15 passengers got off and 9 got on.

This means that:

number of passengers = x - 15 + 9 

number of passengers = x -6

10 minutes later:

4 passengers got off the bus

This means that:

number of passengers = (x-6) - 4

number of passengers = x - 10

The original number of passengers on the bus decreased by 10 after the second stop.

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Find the equation of the line in slope-intercept form (-1,-1) and (1,0)
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Answer:

An equation in slope-intercept form of the line will be

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

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  • (1, 0)

Finding the slope between (-1,-1) and (1,0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-1\right)}{1-\left(-1\right)}

m=\frac{1}{2}

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

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Add 1/2 to both sides

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b=-\frac{1}{2}

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)

y\:=\frac{1}{2}x-\frac{1}{2}

Therefore, an equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}
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