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: Identify 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: Determine the value of $y$ when $x = 0$

When $x = 0$ (serving no customers), we substitute $x = 0$ into the equation $y=0.177x + 25.936$.
$y=0.177\times0 + 25.936$.
$y = 25.936\approx26$.

Answer:

$26$ dollars, so the answer is B. $\$26$