The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!

8 0

2 years ago

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

3 0

2 years ago

1. Ramon spends 2/5 of his monthly income on rent, 1/5 of his monthly income on utilities, and 3/4 of the amount remaining on fo

hichkok12 [17]

If x is how much his income is then 2/5x+1/5x= 3/5x for rent and utilities. x-3/5x=2/5x leftover. 3/4×2/5x=3/10x for food. 3/5x+3/10x=9/10x spent on rent, utilities, and food and rec. He saves the rest which is x-9/10x= 1/10x so if 1/10x=193.50
x= $1,935 for his income

7 0

3 years ago