The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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Answer:
A
Step-by-step explanation:
Pick a point on the triangle and move it down until it lines up with its red counterpart. Then move the same point over until it lines up with the red counterpart completely. In conclusion, the answer is (x,y) -> (x+4,y-4) or A
Answer: 4.5p + 40 = 112
Step-by-step explanation:
Let p represent the number of pairs of shoes that Roger must sell in a day to meet his daily earnings goal.
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. This means that if he sells p shoes in a day, his total earnings for that day is expressed as
4.5p + 40
Since his daily earnings goal is $112, then the equation to determine how many pairs of shoes he must sell to meet his daily earnings goal is
4.5p + 40 = 112
