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Rzqust [24]
3 years ago
15

Each of the options below describes a relationship that you need to graph on a coordinate plane. Which of the options will have

a slope of 8? Select all that apply. A) Doing 4 pages of homework in 20 minutes B) Cycling 32 miles in 4 hours C) Buying 10 shirts for $80 D) Reading 72 pages in 9 hours
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer:

B ; C; D

Step-by-step explanation:

The slope measures the rate of change in the dependent variable per unit change in the independent variable :

From the options :

Doing 4 pages of homework in 20 minutes :

The number of pages done per minute = slope

Slope = 20 / 4 = 5

To cycle 32 miles in 4 hours:.

Number of miles to cycle per hour to achieve the feat :

Slope = 32 /4 = 8

Buying 10 shirts for $80:

Cost per shirt = slope

Slope = $80 / 10

Slope = 8

Reading 72 pages in 9 hours

Number of pages read per hour :

72 / 9 = 8 pages

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Answer:

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Step-by-step explanation:

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<u>Solve for x</u>

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There are 173 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 46 fans?
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Two lines, A and B, are represented by the equations given below!
lara [203]

Answer:

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}

y-3x=4

-

\underline{y-x=-4}

-2x=8

\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}

solve for x

-2x=8

Divide both sides by -2

\frac{-2x}{-2}=\frac{8}{-2}

x=-4

\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4

y-\left(-4\right)=-4

y+4=-4

y=-8

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

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