Question

mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. the scatter plot shows the data he gathered and the line of best fit. the equation of the line of best fit is y = 1.73x + 0.924. based on the line of best fit, approximately how many pink flowers are predicted to bloom on a shrub with 40 red flowers? a. 23 b. 56 c. 69 d. 80

Explanation:

Step1: Identify the variables

The equation of the line of best - fit is $y = 1.73x+0.924$, where $x$ is the number of red flowers and $y$ is the number of pink flowers.

Step2: Substitute the value of $x$

We are given that $x = 40$ (number of red flowers). Substitute $x = 40$ into the equation $y=1.73x + 0.924$.
$y=1.73\times40+0.924$

Step3: Perform the calculation

First, calculate $1.73\times40 = 69.2$. Then, $y=69.2+0.924=70.124\approx70$. But among the given options, the closest value to our result is:
$y = 69$ (since we are looking for an approximation from the given choices)

Answer:

C. 69