Answer: y = 54(1.06)^t
Step-by-step explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t
Answer:$6.11 per bag
Step-by-step explanation: The total of both the apples and ice cream is 55.68. Since we’re just trying to find the total price of apples, we’ll subtract the total price of ice cream. 55.68-6.80=48.88. Now we’ll divide $48.88 by 8, since there are 8 bags. That leaves us with $6.11
We want the final coordinate of K to become (-3,1). If you reflect across the y-axis, you transform
So, we need to move K to (3,1), and then reflect it across the y-axis. Since K starts at (-1,4), we have to move it 4 units to the right and 3 units down.
The correct answer is A.
You have direct variation if x and y are modeled by the equation
In this case, m is the constant of proportionality. So, if the constant has to be 2, the equation becomes
A side note: Actually, option C has a constant of proportionality of two as well, except the roles of x and y are interchanged. I chose option A because usually you want the y = mx form, but the names of the variables are obviously meaningless.
Ok, so for this you're likely graphing in y=mx+b format (slope intercept). So to start, you'all first subtract 3x from the equation to get 6y=-3x+16. Now you'll divide the equation by 6 to get y alone. Your final equation will be y=-1/2x+16/6
