Question

melinda works at a cafe. each day that she works, she records x, the total dollar amount of her customers bills and then y, her total daily wages. the table shows her data for 2 weeks. according to the line of best fit, what is the minimum amount, to the nearest dollar, melinda will earn for each day of work, even if she serves no customers?
$18
$26
$36
$40

Explanation:

Step1: Understand the linear regression equation

The linear regression equation is \(y = 0.177x+25.936\), where \(y\) is the total daily wages and \(x\) is the total dollar amount of customers' bills.

Step2: Substitute \(x = 0\) into the equation

When \(x = 0\) (serving no customers), we have \(y=0.177\times0 + 25.936\).
Since \(0.177\times0=0\), then \(y = 25.936\).

Step3: Round to the nearest dollar

Rounding \(25.936\) to the nearest dollar, we look at the tenths place. The tenths digit is \(9\), so we round up. \(25.936\approx26\).

Answer:

\(26\) (corresponding to the option \(\$26\))