Question

based on the line of best fit, how much time does it take to cover a distance of 85 yards?
a. 63 seconds
b. 40 seconds
c. 42 seconds
d. 60 seconds

Explanation:

Step1: Analyze the line of best fit

The line of best fit in the graph shows a linear relationship between time and distance.

Step2: Extend the line of best fit

If we extend the line of best fit (assuming the linear trend continues), when the distance is 85 yards (going up the y - axis), we look at the corresponding x - value (time).
Looking at the scale of the graph, each grid on the x - axis is 5 units (seconds) and on the y - axis is 5 units (yards).
The line of best fit has a positive slope. If we assume the equation of the line of best fit is \(y = mx + b\) (where \(y\) is distance, \(x\) is time). From the graph, when \(x = 50\), \(y=70\). The slope \(m=\frac{70 - 0}{50-0}=\frac{7}{5}\) (approximate value from the two - point \((0,0)\) and \((50,70)\) on the line of best fit).
If \(y = 85\), then \(85=\frac{7}{5}x\), \(x=\frac{85\times5}{7}\approx60.71\).

Answer:

D. 60 seconds