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3 years ago

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r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t

since 2000. Which of the following statements best describes the relationship between the years since 2000 and the urbanization rate? A It is linear because the urbanization rate increases by 35.7 each year. B It is linear because the urbanization rate increases by 1.37 each year. C It is exponential because the urbanization rate increases by 37% each year. D It is exponential because the urbanization rate increases by a factor of 35.7 each year.

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer: 37.07

because 35.7+1.37 is 37.07

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1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

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$x-2(0)= 4$

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The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

<u>case B)</u> point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

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therefore

the point $(2,1)$ is not a solution of the inequality

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Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

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therefore

the point $(3,0)$ is not a solution of the inequality

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Substitute the value of x and y in the inequality

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$1\geq 4(1)-5$

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therefore

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we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

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The solution is the shaded area above the dashed line

so

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

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