Final answer:
To determine the number of miles the Lyft driver must drive to earn $535, we use the equation totaling the $1.35 per mile and the $7 flat fee. The closest provided option that matches the calculation without going over is 385 miles.
Step-by-step explanation:
To calculate how many miles a Lyft driver must drive to make a total of $535, we need to create an equation based on the given payment structure. The driver makes $1.35 per mile plus a flat fee of $7 for each passenger pick-up. Assuming there is only one passenger pick-up involved in this scenario, we can disregard the number of pick-ups since it is a constant value that does not affect the variable miles driven.
The equation to represent the total earnings is:
Total Earnings = ($1.35 × Number of Miles) + $7
Substituting $535 as the total earnings, we get:
$535 = ($1.35 × Number of Miles) + $7
To find the Number of Miles, subtract $7 from $535:
$528 = $1.35 × Number of Miles
Divide both sides by $1.35 to solve for the Number of Miles:
≈ 391.11 miles
However, as the answer needs to be one of the options provided, the closest value that is not over the actual calculation is:
B) 385 miles