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murzikaleks [220]
3 years ago
7

Suppose you are saving money for a new cell phone. At week 0 you have $20 and at week 10 you have $100. If y represents the amou

nt of money you have saved and x represents the number of weeks, find and interpret the slope of the linear equation. A. 1/8 ; $8 is put away each week. B. 10; $10 is put away each week. C. 8; $8 is put away each week. D. 1/10; $10 is put away each week
Mathematics
2 answers:
Likurg_2 [28]3 years ago
7 0
<span>you have 2 points (0,20) and (10,100) now find the slope using change in y divided by change in x
m=(100-20)/(10-0)
m=80/10
m=8 is the slope</span>
grandymaker [24]3 years ago
6 0
If we plot the given values in the Cartesian plane, the points to which the line would pass are (0, 20) and (10, 100). Thus, the slope m is,
                        m = (y2 - y1) / (x2 - x1)
Substituting,
                         m = (100 - 20) / (10 - 0) = 8
Thus, I saved 8 pesos per week. The answer to the question is letter C. 
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How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3
lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

x = -\frac{7}{5}

And

y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}

Replacing in the other equation we should get the same result.

y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}

So the system has one solution.

3 0
3 years ago
How do you write 100, in an exponential form
Allushta [10]

1. 10^2

2. 10^5

3. 10^4

Hope this helped!

Nate

8 0
3 years ago
-6(2r +8)=-10(r-3)<br> I need the work to
barxatty [35]

Answer:

r = -39

Step-by-step explanation:

So we are trying to solve the equation for r.

-6(2r + 8) = -10(r - 3)

Divide both sides by -2. (This will make distributing much easier.)

3(2r + 8) = 5(r - 3)

Distribute the 3 on the left side and the 5 on the right side,

6r + 24 = 5r - 15

Subtract 24 from both sides.

6r = 5r - 39

Subtract 5r from both sides.

r = -39

So now we have solve the equation.

I hope you find my answer and explanation to be helpful. Happy studying. :)

5 0
3 years ago
The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20
podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0
3 years ago
Translate the following and explain where these examples could be
ki77a [65]
A) x-6; you have x amount of money and pay 6 dollars for a hat.
b) 2(x2);
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