Based on the line of best fit, approximately how many pink flowers are predicted to bloom on a shrub with 40 red flowers?
Understand the Problem
The question is asking how many pink flowers are expected to bloom on a shrub with 40 red flowers based on the provided equation of the line of best fit, which relates the number of red flowers to pink flowers.
Answer
69
Answer for screen readers
The approximate number of pink flowers expected to bloom on a shrub with 40 red flowers is ( 69 ).
Steps to Solve
- Use the equation of the line of best fit
The given equation is:
$$ y = 1.73x + 0.0924 $$
Here, ( y ) represents the number of pink flowers, and ( x ) represents the number of red flowers.
- Substitute the number of red flowers
We need to find the number of pink flowers when ( x = 40 ):
$$ y = 1.73(40) + 0.0924 $$
- Calculate the value
First, calculate ( 1.73 \times 40 ):
$$ 1.73 \times 40 = 69.2 $$
Now, add ( 0.0924 ):
$$ y = 69.2 + 0.0924 = 69.2924 $$
- Round to the nearest whole number
Since we are looking for the approximate number of pink flowers, round ( 69.2924 ) to the nearest whole number:
$$ y \approx 69 $$
The approximate number of pink flowers expected to bloom on a shrub with 40 red flowers is ( 69 ).
More Information
The equation of the line of best fit helps to predict values based on established data. In this case, it shows the relationship between red and pink flowers.
Tips
- Failing to substitute the correct value for ( x ).
- Forgetting to round the final answer to the nearest whole number. Always check if the context requires a specific format for the answer.
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