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Rainbow [258]
3 years ago
11

Which relationship is an example of a proportional relationship? helppp?

Mathematics
2 answers:
andreev551 [17]3 years ago
4 0

Answer: “samuel earns $20 for each lawn he mows”

Step-by-step explanation:

Mkey [24]3 years ago
3 0

Answer: D) Samuel earns $20 for each lawn he mows.

Choices A,B,C are not proportional relationships because they are linear equations that do not go through the origin. For instance, choice B's equation is y = 25x+45, showing the y intercept is 45 instead of 0. The direct proportion equation must have a y intercept of 0. Similar situations happen with choice A and C.

Choice D is the answer because the equation here is y = 20x. This line goes through the origin. The constant of proportionality is 20, meaning that each time x goes up by 1, y goes up by 20. In this case, x is the number of lawns mowed and y is the total amount of money made.

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3 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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3 years ago
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Read 2 more answers
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harkovskaia [24]

Answer:

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Step-by-step explanation:

Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.

Therefore the inequality to represent x is:

13.65 ≤ x < 13.75

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3 years ago
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