Final answer:
To find out how many miles Erica could travel with at most $10, we set up an equation and solve for x. The maximum value of x is 12, closest to 14 miles.
Step-by-step explanation:
To find out how many miles Erica could travel with at most $10, we need to set up an equation that represents the cost of the cab ride. Let x be the number of miles traveled. The cost of the cab ride can be calculated using the formula $1.75 + $0.65x. We want to find the largest x that satisfies the condition $1.75 + $0.65x ≤ $10. Subtracting $1.75 from both sides, we get $0.65x ≤ $8.25. Dividing both sides by $0.65, we get x ≤ 12.69. Since we need to find the nearest whole number of miles, Erica could travel up to 12 miles. Therefore, the correct answer is a) 14 miles.