Question

earnings the graph shows the amount of money ryan earns.
a. use the graph to estimate the x- and y-intercepts of the function, and interpret the meanings in the context of the situation.
the x–intercept is
the y–intercept is
this means that ryan earns $
for working
hours.
need help?

Explanation:

Step1: Find x - intercept

The x - intercept is the point where the graph crosses the x - axis (where \(y = 0\)). From the graph, the line passes through the origin \((0,0)\), so the x - intercept is \(0\). This means when Ryan works \(0\) hours, his earnings are \(0\) dollars (which makes sense contextually as no work means no pay).

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis (where \(x=0\)). The line passes through \((0,0)\), so the y - intercept is \(0\).

Step3: Interpret the intercepts

The x - intercept \(x = 0\) and y - intercept \(y=0\) mean that when Ryan works \(0\) hours (\(x = 0\)), he earns \(0\) dollars (\(y = 0\)). So Ryan earns \(\$0\) for working \(0\) hours.

Answer:

The \(x\) - intercept is \(0\). The \(y\) - intercept is \(0\). This means that Ryan earns \(\$0\) for working \(0\) hours.