Question

A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)

Answer 1

Step-by-step explanation:0 - 15 miles

15 - 75 miles

More than 75 miles

For each interval we have different cost and equation

Let miles = x, cost = y, then the equations are:

0 < x ≤ 15 ⇒ y = 3.95

15 < x ≤ 75 ⇒ y = 1.25x + 3.95

x > 75 ⇒ y = 0.85x + 78.95

Answer 2

There are three intervals depending on the mileage:

• 0 - 15 miles
• 15 - 75 miles
• More than 75 miles

For each interval we have different cost and equation

Let miles = x, cost = y, then the equations are:

• 0 < x ≤ 15 ⇒ y = 3.95
• 15 < x ≤ 75 ⇒ y = 1.25x + 3.95
• x > 75 ⇒ y = 0.85x + 78.95