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Rudiy27
1 year ago
12

Two people are planning their wedding. For the reception, they found the the cost C for 65 guests, g is $2730 whereas the cost f

or 80 guests is $3360. Calculate the slope to find the cost per guest?
Mathematics
1 answer:
a_sh-v [17]1 year ago
5 0

The slope that represents the cost per guest is $42 per guest

<h3>How to determine the slope?</h3>

From the question, we have the following parameters that can be used in our computation:

Cost for 65 guests, g is $2730

Cost for 80 guests is $3360

This can be represented as

(g, C) = (65, 2730) and (80, 3360)

The slope is then calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (65, 2730) and (80, 3360)

Substitute the known values in the above equation

So, we have the following equation

Slope = (3360 - 2730)/(80 - 65)

Evaluate the quotient

Slope = 42

Hence, the slope is 42

Read more about slope at

brainly.com/question/3493733

#SPJ1

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The total weight of a rock depends on its size and is proportional to its density. In this context, density is the weight per cu
kow [346]

Answer:

d = \frac{w}{48}

If  \frac{1}{48} \\ is constant, say k

Then,

d = kw

∴ d ∝ w

Hence, weight is proportional to the density

Step-by-step explanation:

From the question,

Let w denote the weight of the rock in pounds

s denote the size of the rock in cubic inches and

d denote the density of the rock in pounds per cubic inch.

First, we will write the equation connecting w, s, and d.

We get

density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }

That is,

d = \frac{w}{s}

Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write

d = \frac{w}{48}

If  \frac{1}{48} \\ is constant, say k

Then,

d = kw

∴ d ∝ w

Hence, density is proportional to the weight OR weight is proportional to the density

4 0
3 years ago
2. Solve for the x.<br> 8<br> 16<br> 7
olasank [31]

Answer:

Theres no equation here?

Step-by-step explanation:

3 0
3 years ago
Identify the domain and range of the relation. Use a
vagabundo [1.1K]

Answer:

Domain = {3,4,9}

Range = {2, 6, 8, 9.5}

Given relation is NOT a function.

Step-by-step explanation:

Given relation is relation is ((9,6), (3,8),(4,9.5), (9,2)}.

Now we need to determine if given relation is a function or not.

We also need to find the domain and range.

((9,6), (3,8),(4,9.5), (9,2)}

​Domain is basically the collection of x-values

So Domain = {3,4,9}

Range is basically the collection of y-values

So Range = {2, 6, 8, 9.5}

Since given relation contains repeated x-value "9".

So the given relation is NOT a function.

7 0
4 years ago
What is the answer to 3x - 9 equals 3 (x-5)​
viktelen [127]

Answer:

No solution

Step-by-step explanation:

To find the solution to 3x - 9 equals 3(x - 5), we would have to solve for x.

First set the two expressions equal to each other.

3x - 9 = 3(x - 5)

Now we can distribute the 3 on the right side.

3x - 9 = 3x - (3 * 5)

Simplify

3x - 9 = 3x - 15

Now lets try to get x alone on one side of the equality. Subtract 3x from both sides to cancel out of 3x on the right side.

3x - 9 - 3x = 3x - 15 - 3x

-9 = -15

And as you may have realized, -9 does not equal -15.

Why did the x disappear? Why did we end up with -9 = -15 which is clearly a false statement? This is because the the lines y = 3x - 9 and y = 3(x - 15) are parallel. Thus, they will never intersect and the equality 3x - 9 = 3(x - 5) will have no solution.

So there is no solution.

I hope you find my answer to be helpful. Let me know if you have any questions. Happy studying.

4 0
3 years ago
Plz this is important number 2 plz
ololo11 [35]
Rounding it to the tens place so your answer for 12mm is going to be 10
7 0
4 years ago
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