Complete question is;
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best–fit line is y = 73.6 – 67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer increases with time.
The distance from the retailer decreases with time.
The distributor is 67.8 miles away from the retailer.
The distributor is 73.6 miles away from the retailer.
The truck is traveling at a rate of 67.8 miles per hour.
Answer:
B: The distance from the retailer decreases with time.
Step-by-step explanation:
Formula for best fit line is;
y = mx + b
Where;
m is slope
b is y-intercept
We are told that the best–fit line is y = 73.6 – 67.8x
This can be written as;
y = -67.8x + 73.6
This means the slope is negative and when x = 0, y = 73.6 which is the y-intercept.
We are told that x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Since we have a negative slope, it means that y is decreasing with increasing values of x.
Thus, we can say that the distance from the retailer decreases with time.
