Final answer:
Emma's earnings from driving for Uber, after spending $15 on gas, can be modeled by the algebraic expression M = 11x - 15, where M represents her total earnings and x is the number of hours she worked.
Step-by-step explanation:
To model the money Emma made from driving for Uber, we need an algebraic expression that takes into account the initial cost of gas and her hourly earnings. Since Emma spent $15 on gas which is a one-time expense and earns $11 per hour, the expression can be represented as:
Earnings = (Hourly Rate x Number of Hours Worked) - Cost of Gas
If we let x represent the number of hours worked, then the algebraic expression becomes:
M = 11x - 15
Here, M represents the total amount of money Emma made after accounting for the cost of gas. The number 11 indicates her hourly earnings, and -15 indicates the initial cost of gas, which is deducted from her earnings.