Eli will photograph a wedding for a flat fee of $840 or for an hourly rate of $180. For what lengths of time would the hourly rate be less expensive?
180x < 840
is that the equation being set up?
It's not an equation but an inequality.
Solve it and you'll find your answer.
To determine when the hourly rate is less expensive than the flat fee, we need to compare the total cost of each option for different lengths of time.
Let's assume that the length of time is represented by the variable "x" in hours.
For the flat fee option, the total cost is fixed at $840, regardless of the length of time.
For the hourly rate option, the total cost can be calculated using the formula: Total Cost = Hourly Rate * Length of Time.
Therefore, the total cost for the hourly rate option would be: Total Cost = $180 * x.
To find out when the hourly rate is less expensive, we need to find the value of "x" for which the total cost of the hourly rate option is less than $840.
In mathematical terms, we need to solve the inequality: $180 * x < $840.
Dividing both sides of the inequality by $180, we get: x < $840/$180.
Simplifying the right side, we have: x < 4.67.
Since time cannot be fractional, we round down to the nearest whole number. Therefore, when the length of time is less than 4 hours, the hourly rate option is less expensive than the flat fee option.
In conclusion, the hourly rate would be less expensive for any length of time less than 4 hours.