Question

Using this graph of a linear equation as an example, create a real-world situation that the graph could model. In 3 sentences, explain what the graph is modeling.

The graph shows
X axis is per hour

Y axis is the amount in dollars every 5 dollars

The point start at $5 and increase up to $40

Babysitter

Answer 1

A babysitter charges a $5 flat booking fee plus $5 for every hour she works, so the total pay y (in dollars) after x hours is y = 5 + 5x. The graph starts at $5 when x = 0 (the booking fee) and rises $5 for each additional hour, reaching $40 after 7 hours. This models how total pay increases linearly with time worked and can be used to predict earnings for any number of hours.