Answer: e = 7.5*h
Step-by-step explanation: The relationship between Lisa's earnings, e, and the number of hours, h, that she works is proportional. This means that the ratio of e to h is constant. One way to represent this relationship is through an equation of the form:
e = k*h
where k is a constant of proportionality. In this case, we know that Lisa earns $30 for 4 hours of babysitting, so we can use this information to find the value of k:
30 = k*4
k = 30/4 = 7.5
So the equation that represents Lisa's earnings, e, relative to the number of hours, h, that she works is:
e = 7.5*h
Where e is the earnings and h is the number of hours and 7.5 is the constant of proportionality.
Alternatively, you can write the equation as e = 30/4 * h = 7.5 * h
This equation tells us that for every hour that Lisa babysits, she earns $7.5.