PLZZ Help me algebra 2.

Match the real-world problem to its constant of proportionality.

irakobra [83]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{x}{y} = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{x}{y} = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{x}{y} = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{x}{y} = \frac{24}{2} = 12$

So, the proportionality constant is 12.

7 0

3 years ago

The table below represents the displacement of a horse from its barn as a function of time:

katovenus [111]

A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

<span>C. Since we have determine the y-intercept and the slope, we can formulate the linear equation:</span>

y = m x + b

y = 50 x + 8

The domain is the value of x. When y = 508, x is equivalent to

508 = 50 x + 8

6 0

3 years ago

I'm not sure how to solve please help

wel

Follow these step:
So you want to start with adding the 5 to the other side of the equation so it would become 8=g/4
Then you want to multiply each side by 4 so it becomes 32=g

The answer is g=34
I hope this helps :)

8 0

3 years ago

A metal can is a cylinder with a radius of 3 in. and a height of 6 in.

iVinArrow [24]

Answer:

169.56

Step-by-step explanation:

54*3.14 = 169.56

this is the answer on the test

5 0

3 years ago

What is the slope of the line passing through the points (−3, −5) and (−1, −6)?

Virty [35]

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is $-\frac{ 1 }{ 2 }$ (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

m = $\frac{ (-6) - (-5) }{ (-1) - (-3) }$

m = $\frac{ -6 + 5 }{ -1 + 3 }$

m = $-\frac{ 1 }{ 2 }$

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

8 0

1 year ago

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