All categories

3 years ago

Slope and y intercept

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer:

$y=\frac{25}{1}x+75$

The beginning balance of Sophie's account is 75

Step-by-step explanation:

Using the slope intercept form aka $y=mx+b$

The slope of a line describes how steep a line is.

We can see that the y-axis goes up by 25.

25, 50, 75, 100, 125, 150 etc

<u>$ is how much you have in your bank account.</u>

<em>We can see that Sophie starts off with 75 dollars.</em>

In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.

<h3>how to find the slope</h3>

$slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

The first week (1, 100)

The second week (2,125)

$(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1} \\Up 25 (aka, 1 line), over 1(aka 2 lines)$

You might be interested in

Marguerite is building a box from strips of wood. She needs 78 pieces of wood that are each 29 centimeters long. The wood comes

Vsevolod [243]

120 because you needed to add them up

4 0

3 years ago

Find the surface area of the cylinder: Use 3.14 for

sleet_krkn [62]

Answer:

Well on my end i got 47.12, with pi included

Step-by-step explanation:

3 0

3 years ago

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

3 0

4 years ago

What does x and y mean in coordinates

drek231 [11]

Answer: x stands for the distance right or left of the Origin (0, 0), and Y is the distance up or down from the Origin

Step-by-step explanation:

4 0

3 years ago

Roles are being prepared to go to the grocery store. Divide 72 Rolls into two groups to the ratio is 3 to 5

Roman55 [17]

3/5 = 72/x

First u need to cross multiply

5*72 = 360

Now divide

360/3 =120. <<< that's x

So

3/5 = 72/120 < answer

6 0

3 years ago