Final answer:
To determine the amount of daily miles at which option A becomes cheaper, set up an equation and solve for the variable. Option A will be cheaper when the number of daily miles is greater than 50.
Step-by-step explanation:
To determine the amount of daily miles at which option A becomes cheaper, we need to set up an equation and solve for the variable. Let's assume x represents the number of daily miles. For option A, the total cost per day is $30 + $0.10x. For option B, the total cost per day is $10 + $0.50x. We want to find the value of x when the cost of option A is less than the cost of option B.
Setting up the equation:
30 + 0.10x < 10 + 0.50x
Simplifying the equation:
20 < 0.40x
Dividing both sides by 0.40:
x > 50
Therefore, option A will be cheaper when the number of daily miles is greater than 50.