A population of bacteria is growing at a rate of 20% per hour. If the population starts at 320, what is it an hour later?
1 answer:
Answer:
384.
Step-by-step explanation:
The population is given by the expression;
Where;
Y(t) is the number of bacteria at time, t.
P is the starting amount.
r is the growth rate.
Given that, P = 320, r = 20% = 0.2, t = 1
Substituting the parameters into the equation;
Y(1) = 320 * 0.2¹
Y(1) = 320 * 0.2
Y(1) = 64.
Therefore, the population of bacteria increases hourly by 64.
An hour later; 320 + 64 = 384.
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The line of best fit is a straight line that can be used to predict the
average daily attendance for a given admission cost.
Correct responses:
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- The correlation coefficient is; r ≈<u> -0.969</u>
The given data is presented in the following tabular format;
The equation of the line of best fit is given by the regression line
equation as follows;
Where;
= Predicted value of the<em> i</em>th observation
b₀ = Estimated regression equation intercept
b₁ = The estimate of the slope regression equation
= The <em>i</em>th observed value
= 24.625
= 960.625
Therefore;
Therefore;
- The slope given to the nearest tenth is b₁ ≈ -4.9
By using MS Excel, we have;
n = 8
∑X = 197
∑Y = 7365
∑X² = 4939
∑Y² = 6782675
∑X·Y = 180930
(∑X)² = 38809
Therefore;
- The y-intercept given to the nearest tenth is b₀ ≈ 1,042
The equation of the line of best fit is therefore;
The correlation coefficient is given by the formula;
Where;
Which gives;
The correlation coefficient given to the nearest thousandth is therefore;
- <u>Correlation coefficient, r ≈ -0.969</u>
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