Question

Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges $\backslash (25+\backslash )20$per hour of work. A linear equation that expresses the total amount of money Ethan earns per visit is$y=25+20x$. What are the independent and dependent variables? What is the y-intercept and what is the slope? Interpret them using complete sentences.

Short answer

The $y$-intercept is $25$. The $y$-intercept is the one-time fee charged by Ethan at the start of a visit. The slope is 20 . It means that as an hour increases by one, the amount of money earned by Ethan is expected to increase by $20$.

Step-by-step solution

Given Information

The general linear equation is given below:

$y=a+bx$

Here, $a$is the $y$-intercept and $b$is the slope. Also, $y$is the dependent variable and $x$is the independent variable.

Explanation

The given linear equation is written below:

$y=25+20x$

Here, total amount of money that Ethan earns is the dependent variable and the number of hours Ethan works each visit is the independent variable.

The $y$-intercept is $25$ . The $y$-intercept is the one-time fee charged by Ethan at the start of a visit. The slope is $20$ . It means that as an hour increases by one, the amount of money earned by Ethan is expected to increase by $20$.