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.

X axis is per hour from 0-7

Y axis is the amount in dollars every 5 dollars ( from $0-$40)

Answer 1

This graph could model a babysitter who charges a $10 flat booking fee plus $4 per hour; the x-axis is hours (0–7) and the y-axis is total pay in dollars (0–40). The linear equation is y = 10 + 4x, where the y-intercept 10 is the flat fee and the slope 4 means the sitter earns $4 for each additional hour. For example, after 3 hours the sitter would be paid y = 10 + 4(3) = $22, and after 7 hours they'd earn $38, which fits on the given axes.