Question

the equation of the line of best fit is \\(y = 0.755x + 11.339\\).

based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash?

68
79
92
104

Explanation:

Identify the given equation and variable definitions

The equation of the line of best fit is:

$$y = 0.755x + 11.339$$

From the graph axes:

• \(x\) represents the number of customers paying with Cash.
• \(y\) represents the number of customers paying with Card.

Substitute the given value into the equation

We are given that \(90\) customers pay by cash, so we substitute \(x = 90\):

$$y = 0.755(90) + 11.339$$

Calculate the predicted value

$$y = 67.95 + 11.339 = 79.289$$

Rounding to the nearest whole number gives approximately \(79\).

Answer:

• 68
• 79 (Correct answer)
• 92
• 104