Question

Amanda babysits and Petra does yard work on weekends. The graph relating Amanda’s earnings to the number of hours she babysits passes through the points (0, 0) and (4, 24).The table below relates Petra’s earnings to the number of hours she does yard work

Who earns more per hour?

Answer 1

Answer:

Amanda

Step-by-step explanation:

The equation of a line passing through two point $(x_1,y_1)\ and\ (x_2,y_2)$ is given by:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Let x represent the number of hours Amanda babysit and y represent her earnings. Amanda’s earnings passes through (0, 0) and (4, 24). , the equation is:

$y-0=\frac{24-0}{4-0}(x-0)\\\\y=6x$

This means that Amanda earn at a rate $6 per hour.

Petra earning can be represented by the points (3, 15) and (6, 30). Hence:

$y-15=\frac{30-15}{6-3}(x-3)\\\\y-15=5(x-3)\\\\y-15=5x-15\\\\ y=5x$

Petra earn at a rate of $5 per hour

Therefore Amanda earns more per hour

Answer 2

Answer:

Amanda

Step-by-step explanation:

Is amanda because petra only earns 5 dollars and amanda recive 6 dolllars per hour hope this helped you :) it would be nice if you give me a brainliest :D